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Finding the Third Proportional to 13,778 and 14,966

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Solution

The third proportional to 13,778 and 14,966 is: 16,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778 : 14,966 = 14,966 : x
  2. Step 2: Convert to fraction form
    13,778/14,966 = 14,966/x
  3. Step 3: Cross multiply
    13,778x = 14,966 × 14,966
  4. Step 4: Simplify right side
    13,778x = 223,981,156
  5. Step 5: Solve for x
    x = 223,981,156/13,778
  6. Step 6: Final answer
    x = 16,256.43

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.