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Finding the Third Proportional to 5,705 and 8,849

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Solution

The third proportional to 5,705 and 8,849 is: 13,725.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705 : 8,849 = 8,849 : x
  2. Step 2: Convert to fraction form
    5,705/8,849 = 8,849/x
  3. Step 3: Cross multiply
    5,705x = 8,849 × 8,849
  4. Step 4: Simplify right side
    5,705x = 78,304,801
  5. Step 5: Solve for x
    x = 78,304,801/5,705
  6. Step 6: Final answer
    x = 13,725.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.