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Finding the Third Proportional to 12,304 and 15,432

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Solution

The third proportional to 12,304 and 15,432 is: 19,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,304 : 15,432 = 15,432 : x
  2. Step 2: Convert to fraction form
    12,304/15,432 = 15,432/x
  3. Step 3: Cross multiply
    12,304x = 15,432 × 15,432
  4. Step 4: Simplify right side
    12,304x = 238,146,624
  5. Step 5: Solve for x
    x = 238,146,624/12,304
  6. Step 6: Final answer
    x = 19,355.22

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Why These Related Problems?

These problems maintain the same ratio (1.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.