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Finding the Third Proportional to 43,654.57 and 71,359.42

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Solution

The third proportional to 43,654.57 and 71,359.42 is: 116,646.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,654.57 : 71,359.42 = 71,359.42 : x
  2. Step 2: Convert to fraction form
    43,654.57/71,359.42 = 71,359.42/x
  3. Step 3: Cross multiply
    43,654.57x = 71,359.42 × 71,359.42
  4. Step 4: Simplify right side
    43,654.57x = 5,092,166,532.84
  5. Step 5: Solve for x
    x = 5,092,166,532.84/43,654.57
  6. Step 6: Final answer
    x = 116,646.81

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.