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Finding the Third Proportional to 5,849 and 12,487

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Solution

The third proportional to 5,849 and 12,487 is: 26,658.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849 : 12,487 = 12,487 : x
  2. Step 2: Convert to fraction form
    5,849/12,487 = 12,487/x
  3. Step 3: Cross multiply
    5,849x = 12,487 × 12,487
  4. Step 4: Simplify right side
    5,849x = 155,925,169
  5. Step 5: Solve for x
    x = 155,925,169/5,849
  6. Step 6: Final answer
    x = 26,658.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.