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Finding the Third Proportional to 15,894 and 25,139.25

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Solution

The third proportional to 15,894 and 25,139.25 is: 39,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894 : 25,139.25 = 25,139.25 : x
  2. Step 2: Convert to fraction form
    15,894/25,139.25 = 25,139.25/x
  3. Step 3: Cross multiply
    15,894x = 25,139.25 × 25,139.25
  4. Step 4: Simplify right side
    15,894x = 631,981,890.56
  5. Step 5: Solve for x
    x = 631,981,890.56/15,894
  6. Step 6: Final answer
    x = 39,762.29

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.