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Finding the Third Proportional to 8,980 and 14,414

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Solution

The third proportional to 8,980 and 14,414 is: 23,136.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,980 : 14,414 = 14,414 : x
  2. Step 2: Convert to fraction form
    8,980/14,414 = 14,414/x
  3. Step 3: Cross multiply
    8,980x = 14,414 × 14,414
  4. Step 4: Simplify right side
    8,980x = 207,763,396
  5. Step 5: Solve for x
    x = 207,763,396/8,980
  6. Step 6: Final answer
    x = 23,136.24

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.