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Finding the Third Proportional to 8,976 and 14,117

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Solution

The third proportional to 8,976 and 14,117 is: 22,202.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976 : 14,117 = 14,117 : x
  2. Step 2: Convert to fraction form
    8,976/14,117 = 14,117/x
  3. Step 3: Cross multiply
    8,976x = 14,117 × 14,117
  4. Step 4: Simplify right side
    8,976x = 199,289,689
  5. Step 5: Solve for x
    x = 199,289,689/8,976
  6. Step 6: Final answer
    x = 22,202.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.