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Finding the Third Proportional to 10,580 and 14,966

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Solution

The third proportional to 10,580 and 14,966 is: 21,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,580 : 14,966 = 14,966 : x
  2. Step 2: Convert to fraction form
    10,580/14,966 = 14,966/x
  3. Step 3: Cross multiply
    10,580x = 14,966 × 14,966
  4. Step 4: Simplify right side
    10,580x = 223,981,156
  5. Step 5: Solve for x
    x = 223,981,156/10,580
  6. Step 6: Final answer
    x = 21,170.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.