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Finding the Third Proportional to 18,304 and 24,860

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Solution

The third proportional to 18,304 and 24,860 is: 33,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,304 : 24,860 = 24,860 : x
  2. Step 2: Convert to fraction form
    18,304/24,860 = 24,860/x
  3. Step 3: Cross multiply
    18,304x = 24,860 × 24,860
  4. Step 4: Simplify right side
    18,304x = 618,019,600
  5. Step 5: Solve for x
    x = 618,019,600/18,304
  6. Step 6: Final answer
    x = 33,764.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.