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Finding the Third Proportional to 33,494.53 and 72,456.56

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Solution

The third proportional to 33,494.53 and 72,456.56 is: 156,740.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,494.53 : 72,456.56 = 72,456.56 : x
  2. Step 2: Convert to fraction form
    33,494.53/72,456.56 = 72,456.56/x
  3. Step 3: Cross multiply
    33,494.53x = 72,456.56 × 72,456.56
  4. Step 4: Simplify right side
    33,494.53x = 5,249,953,449.32
  5. Step 5: Solve for x
    x = 5,249,953,449.32/33,494.53
  6. Step 6: Final answer
    x = 156,740.62

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.