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Finding the Third Proportional to 24,734 and 37,101

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Solution

The third proportional to 24,734 and 37,101 is: 55,651.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734 : 37,101 = 37,101 : x
  2. Step 2: Convert to fraction form
    24,734/37,101 = 37,101/x
  3. Step 3: Cross multiply
    24,734x = 37,101 × 37,101
  4. Step 4: Simplify right side
    24,734x = 1,376,484,201
  5. Step 5: Solve for x
    x = 1,376,484,201/24,734
  6. Step 6: Final answer
    x = 55,651.50

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.