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Finding the Third Proportional to 8,339 and 9,563

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Solution

The third proportional to 8,339 and 9,563 is: 10,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,339 : 9,563 = 9,563 : x
  2. Step 2: Convert to fraction form
    8,339/9,563 = 9,563/x
  3. Step 3: Cross multiply
    8,339x = 9,563 × 9,563
  4. Step 4: Simplify right side
    8,339x = 91,450,969
  5. Step 5: Solve for x
    x = 91,450,969/8,339
  6. Step 6: Final answer
    x = 10,966.66

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.