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Finding the Third Proportional to 32,264 and 70,725

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Solution

The third proportional to 32,264 and 70,725 is: 155,034.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,264 : 70,725 = 70,725 : x
  2. Step 2: Convert to fraction form
    32,264/70,725 = 70,725/x
  3. Step 3: Cross multiply
    32,264x = 70,725 × 70,725
  4. Step 4: Simplify right side
    32,264x = 5,002,025,625
  5. Step 5: Solve for x
    x = 5,002,025,625/32,264
  6. Step 6: Final answer
    x = 155,034.27

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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.