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Finding the Third Proportional to 42,513.84 and 61,456.97

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Solution

The third proportional to 42,513.84 and 61,456.97 is: 88,840.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,513.84 : 61,456.97 = 61,456.97 : x
  2. Step 2: Convert to fraction form
    42,513.84/61,456.97 = 61,456.97/x
  3. Step 3: Cross multiply
    42,513.84x = 61,456.97 × 61,456.97
  4. Step 4: Simplify right side
    42,513.84x = 3,776,959,007.94
  5. Step 5: Solve for x
    x = 3,776,959,007.94/42,513.84
  6. Step 6: Final answer
    x = 88,840.69

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.