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Finding the Third Proportional to 24,818 and 37,232

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Solution

The third proportional to 24,818 and 37,232 is: 55,855.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,818 : 37,232 = 37,232 : x
  2. Step 2: Convert to fraction form
    24,818/37,232 = 37,232/x
  3. Step 3: Cross multiply
    24,818x = 37,232 × 37,232
  4. Step 4: Simplify right side
    24,818x = 1,386,221,824
  5. Step 5: Solve for x
    x = 1,386,221,824/24,818
  6. Step 6: Final answer
    x = 55,855.50

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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.