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Finding the Third Proportional to 42,304.78 and 61,475.20

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Solution

The third proportional to 42,304.78 and 61,475.20 is: 89,332.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,304.78 : 61,475.20 = 61,475.20 : x
  2. Step 2: Convert to fraction form
    42,304.78/61,475.20 = 61,475.20/x
  3. Step 3: Cross multiply
    42,304.78x = 61,475.20 × 61,475.20
  4. Step 4: Simplify right side
    42,304.78x = 3,779,200,599.26
  5. Step 5: Solve for x
    x = 3,779,200,599.26/42,304.78
  6. Step 6: Final answer
    x = 89,332.71

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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.