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Finding the Third Proportional to 32,952 and 52,452

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Solution

The third proportional to 32,952 and 52,452 is: 83,491.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,952 : 52,452 = 52,452 : x
  2. Step 2: Convert to fraction form
    32,952/52,452 = 52,452/x
  3. Step 3: Cross multiply
    32,952x = 52,452 × 52,452
  4. Step 4: Simplify right side
    32,952x = 2,751,212,304
  5. Step 5: Solve for x
    x = 2,751,212,304/32,952
  6. Step 6: Final answer
    x = 83,491.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.