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Finding the Third Proportional to 20,115.84 and 42,304.78

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Solution

The third proportional to 20,115.84 and 42,304.78 is: 88,969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,115.84 : 42,304.78 = 42,304.78 : x
  2. Step 2: Convert to fraction form
    20,115.84/42,304.78 = 42,304.78/x
  3. Step 3: Cross multiply
    20,115.84x = 42,304.78 × 42,304.78
  4. Step 4: Simplify right side
    20,115.84x = 1,789,694,516.61
  5. Step 5: Solve for x
    x = 1,789,694,516.61/20,115.84
  6. Step 6: Final answer
    x = 88,969.40

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.