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Finding the Third Proportional to 8,786 and 9,602

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Solution

The third proportional to 8,786 and 9,602 is: 10,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,786 : 9,602 = 9,602 : x
  2. Step 2: Convert to fraction form
    8,786/9,602 = 9,602/x
  3. Step 3: Cross multiply
    8,786x = 9,602 × 9,602
  4. Step 4: Simplify right side
    8,786x = 92,198,404
  5. Step 5: Solve for x
    x = 92,198,404/8,786
  6. Step 6: Final answer
    x = 10,493.79

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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.