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Finding the Third Proportional to 32,610 and 71,452

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Solution

The third proportional to 32,610 and 71,452 is: 156,558.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,610 : 71,452 = 71,452 : x
  2. Step 2: Convert to fraction form
    32,610/71,452 = 71,452/x
  3. Step 3: Cross multiply
    32,610x = 71,452 × 71,452
  4. Step 4: Simplify right side
    32,610x = 5,105,388,304
  5. Step 5: Solve for x
    x = 5,105,388,304/32,610
  6. Step 6: Final answer
    x = 156,558.98

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Why These Related Problems?

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