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Finding the Third Proportional to 25,711.50 and 38,841.38

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Solution

The third proportional to 25,711.50 and 38,841.38 is: 58,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,711.50 : 38,841.38 = 38,841.38 : x
  2. Step 2: Convert to fraction form
    25,711.50/38,841.38 = 38,841.38/x
  3. Step 3: Cross multiply
    25,711.50x = 38,841.38 × 38,841.38
  4. Step 4: Simplify right side
    25,711.50x = 1,508,652,411.89
  5. Step 5: Solve for x
    x = 1,508,652,411.89/25,711.50
  6. Step 6: Final answer
    x = 58,676.17

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