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Finding the Third Proportional to 32,660.72 and 71,267.34

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Solution

The third proportional to 32,660.72 and 71,267.34 is: 155,508.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,660.72 : 71,267.34 = 71,267.34 : x
  2. Step 2: Convert to fraction form
    32,660.72/71,267.34 = 71,267.34/x
  3. Step 3: Cross multiply
    32,660.72x = 71,267.34 × 71,267.34
  4. Step 4: Simplify right side
    32,660.72x = 5,079,034,285.18
  5. Step 5: Solve for x
    x = 5,079,034,285.18/32,660.72
  6. Step 6: Final answer
    x = 155,508.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.