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Finding the Third Proportional to 25,712 and 38,842.25

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Solution

The third proportional to 25,712 and 38,842.25 is: 58,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,712 : 38,842.25 = 38,842.25 : x
  2. Step 2: Convert to fraction form
    25,712/38,842.25 = 38,842.25/x
  3. Step 3: Cross multiply
    25,712x = 38,842.25 × 38,842.25
  4. Step 4: Simplify right side
    25,712x = 1,508,720,385.06
  5. Step 5: Solve for x
    x = 1,508,720,385.06/25,712
  6. Step 6: Final answer
    x = 58,677.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.