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Finding the Third Proportional to 8,563 and 9,373

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Solution

The third proportional to 8,563 and 9,373 is: 10,259.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,563 : 9,373 = 9,373 : x
  2. Step 2: Convert to fraction form
    8,563/9,373 = 9,373/x
  3. Step 3: Cross multiply
    8,563x = 9,373 × 9,373
  4. Step 4: Simplify right side
    8,563x = 87,853,129
  5. Step 5: Solve for x
    x = 87,853,129/8,563
  6. Step 6: Final answer
    x = 10,259.62

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.