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Finding the Third Proportional to 9,524 and 12,641

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Solution

The third proportional to 9,524 and 12,641 is: 16,778.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,524 : 12,641 = 12,641 : x
  2. Step 2: Convert to fraction form
    9,524/12,641 = 12,641/x
  3. Step 3: Cross multiply
    9,524x = 12,641 × 12,641
  4. Step 4: Simplify right side
    9,524x = 159,794,881
  5. Step 5: Solve for x
    x = 159,794,881/9,524
  6. Step 6: Final answer
    x = 16,778.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.