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Finding the Third Proportional to 25,705.13 and 38,881.69

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Solution

The third proportional to 25,705.13 and 38,881.69 is: 58,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,705.13 : 38,881.69 = 38,881.69 : x
  2. Step 2: Convert to fraction form
    25,705.13/38,881.69 = 38,881.69/x
  3. Step 3: Cross multiply
    25,705.13x = 38,881.69 × 38,881.69
  4. Step 4: Simplify right side
    25,705.13x = 1,511,785,622.85
  5. Step 5: Solve for x
    x = 1,511,785,622.85/25,705.13
  6. Step 6: Final answer
    x = 58,812.62

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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.