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Finding the Third Proportional to 5,872 and 7,909

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Solution

The third proportional to 5,872 and 7,909 is: 10,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,872 : 7,909 = 7,909 : x
  2. Step 2: Convert to fraction form
    5,872/7,909 = 7,909/x
  3. Step 3: Cross multiply
    5,872x = 7,909 × 7,909
  4. Step 4: Simplify right side
    5,872x = 62,552,281
  5. Step 5: Solve for x
    x = 62,552,281/5,872
  6. Step 6: Final answer
    x = 10,652.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.