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Finding the Third Proportional to 24,650 and 37,927

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Solution

The third proportional to 24,650 and 37,927 is: 58,355.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650 : 37,927 = 37,927 : x
  2. Step 2: Convert to fraction form
    24,650/37,927 = 37,927/x
  3. Step 3: Cross multiply
    24,650x = 37,927 × 37,927
  4. Step 4: Simplify right side
    24,650x = 1,438,457,329
  5. Step 5: Solve for x
    x = 1,438,457,329/24,650
  6. Step 6: Final answer
    x = 58,355.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.