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Finding the Third Proportional to 24,250 and 37,402

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Solution

The third proportional to 24,250 and 37,402 is: 57,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,250 : 37,402 = 37,402 : x
  2. Step 2: Convert to fraction form
    24,250/37,402 = 37,402/x
  3. Step 3: Cross multiply
    24,250x = 37,402 × 37,402
  4. Step 4: Simplify right side
    24,250x = 1,398,909,604
  5. Step 5: Solve for x
    x = 1,398,909,604/24,250
  6. Step 6: Final answer
    x = 57,686.99

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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.