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Finding the Third Proportional to 6,569 and 9,879

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Solution

The third proportional to 6,569 and 9,879 is: 14,856.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569 : 9,879 = 9,879 : x
  2. Step 2: Convert to fraction form
    6,569/9,879 = 9,879/x
  3. Step 3: Cross multiply
    6,569x = 9,879 × 9,879
  4. Step 4: Simplify right side
    6,569x = 97,594,641
  5. Step 5: Solve for x
    x = 97,594,641/6,569
  6. Step 6: Final answer
    x = 14,856.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.