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Finding the Third Proportional to 5,367 and 12,459

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Solution

The third proportional to 5,367 and 12,459 is: 28,922.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,367 : 12,459 = 12,459 : x
  2. Step 2: Convert to fraction form
    5,367/12,459 = 12,459/x
  3. Step 3: Cross multiply
    5,367x = 12,459 × 12,459
  4. Step 4: Simplify right side
    5,367x = 155,226,681
  5. Step 5: Solve for x
    x = 155,226,681/5,367
  6. Step 6: Final answer
    x = 28,922.43

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.