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Finding the Third Proportional to 4,959 and 8,829

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Solution

The third proportional to 4,959 and 8,829 is: 15,719.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959 : 8,829 = 8,829 : x
  2. Step 2: Convert to fraction form
    4,959/8,829 = 8,829/x
  3. Step 3: Cross multiply
    4,959x = 8,829 × 8,829
  4. Step 4: Simplify right side
    4,959x = 77,951,241
  5. Step 5: Solve for x
    x = 77,951,241/4,959
  6. Step 6: Final answer
    x = 15,719.15

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.