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Finding the Third Proportional to 32,849.72 and 72,057.94

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Solution

The third proportional to 32,849.72 and 72,057.94 is: 158,063.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,849.72 : 72,057.94 = 72,057.94 : x
  2. Step 2: Convert to fraction form
    32,849.72/72,057.94 = 72,057.94/x
  3. Step 3: Cross multiply
    32,849.72x = 72,057.94 × 72,057.94
  4. Step 4: Simplify right side
    32,849.72x = 5,192,346,356.75
  5. Step 5: Solve for x
    x = 5,192,346,356.75/32,849.72
  6. Step 6: Final answer
    x = 158,063.65

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.