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Finding the Third Proportional to 8,132 and 8,828

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Solution

The third proportional to 8,132 and 8,828 is: 9,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132 : 8,828 = 8,828 : x
  2. Step 2: Convert to fraction form
    8,132/8,828 = 8,828/x
  3. Step 3: Cross multiply
    8,132x = 8,828 × 8,828
  4. Step 4: Simplify right side
    8,132x = 77,933,584
  5. Step 5: Solve for x
    x = 77,933,584/8,132
  6. Step 6: Final answer
    x = 9,583.57

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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.