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Finding the Third Proportional to 8,019 and 8,829

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Solution

The third proportional to 8,019 and 8,829 is: 9,720.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019 : 8,829 = 8,829 : x
  2. Step 2: Convert to fraction form
    8,019/8,829 = 8,829/x
  3. Step 3: Cross multiply
    8,019x = 8,829 × 8,829
  4. Step 4: Simplify right side
    8,019x = 77,951,241
  5. Step 5: Solve for x
    x = 77,951,241/8,019
  6. Step 6: Final answer
    x = 9,720.82

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.