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Finding the Third Proportional to 14,022 and 15,966

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Solution

The third proportional to 14,022 and 15,966 is: 18,179.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,022 : 15,966 = 15,966 : x
  2. Step 2: Convert to fraction form
    14,022/15,966 = 15,966/x
  3. Step 3: Cross multiply
    14,022x = 15,966 × 15,966
  4. Step 4: Simplify right side
    14,022x = 254,913,156
  5. Step 5: Solve for x
    x = 254,913,156/14,022
  6. Step 6: Final answer
    x = 18,179.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.