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Finding the Third Proportional to 32,394 and 69,282

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Solution

The third proportional to 32,394 and 69,282 is: 148,175.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,394 : 69,282 = 69,282 : x
  2. Step 2: Convert to fraction form
    32,394/69,282 = 69,282/x
  3. Step 3: Cross multiply
    32,394x = 69,282 × 69,282
  4. Step 4: Simplify right side
    32,394x = 4,799,995,524
  5. Step 5: Solve for x
    x = 4,799,995,524/32,394
  6. Step 6: Final answer
    x = 148,175.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.