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Finding the Third Proportional to 33,471 and 72,452

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Solution

The third proportional to 33,471 and 72,452 is: 156,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,471 : 72,452 = 72,452 : x
  2. Step 2: Convert to fraction form
    33,471/72,452 = 72,452/x
  3. Step 3: Cross multiply
    33,471x = 72,452 × 72,452
  4. Step 4: Simplify right side
    33,471x = 5,249,292,304
  5. Step 5: Solve for x
    x = 5,249,292,304/33,471
  6. Step 6: Final answer
    x = 156,831.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.