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Finding the Third Proportional to 5,909 and 9,151

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Solution

The third proportional to 5,909 and 9,151 is: 14,171.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909 : 9,151 = 9,151 : x
  2. Step 2: Convert to fraction form
    5,909/9,151 = 9,151/x
  3. Step 3: Cross multiply
    5,909x = 9,151 × 9,151
  4. Step 4: Simplify right side
    5,909x = 83,740,801
  5. Step 5: Solve for x
    x = 83,740,801/5,909
  6. Step 6: Final answer
    x = 14,171.74

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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.