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Finding the Third Proportional to 8,301 and 9,687

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Solution

The third proportional to 8,301 and 9,687 is: 11,304.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301 : 9,687 = 9,687 : x
  2. Step 2: Convert to fraction form
    8,301/9,687 = 9,687/x
  3. Step 3: Cross multiply
    8,301x = 9,687 × 9,687
  4. Step 4: Simplify right side
    8,301x = 93,837,969
  5. Step 5: Solve for x
    x = 93,837,969/8,301
  6. Step 6: Final answer
    x = 11,304.42

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.