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Finding the Third Proportional to 42,631.50 and 64,542

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Solution

The third proportional to 42,631.50 and 64,542 is: 97,713.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,631.50 : 64,542 = 64,542 : x
  2. Step 2: Convert to fraction form
    42,631.50/64,542 = 64,542/x
  3. Step 3: Cross multiply
    42,631.50x = 64,542 × 64,542
  4. Step 4: Simplify right side
    42,631.50x = 4,165,669,764
  5. Step 5: Solve for x
    x = 4,165,669,764/42,631.50
  6. Step 6: Final answer
    x = 97,713.42

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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.