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Finding the Third Proportional to 8,517 and 12,478

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Solution

The third proportional to 8,517 and 12,478 is: 18,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,517 : 12,478 = 12,478 : x
  2. Step 2: Convert to fraction form
    8,517/12,478 = 12,478/x
  3. Step 3: Cross multiply
    8,517x = 12,478 × 12,478
  4. Step 4: Simplify right side
    8,517x = 155,700,484
  5. Step 5: Solve for x
    x = 155,700,484/8,517
  6. Step 6: Final answer
    x = 18,281.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.