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Finding the Third Proportional to 10,742 and 16,181

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Solution

The third proportional to 10,742 and 16,181 is: 24,373.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742 : 16,181 = 16,181 : x
  2. Step 2: Convert to fraction form
    10,742/16,181 = 16,181/x
  3. Step 3: Cross multiply
    10,742x = 16,181 × 16,181
  4. Step 4: Simplify right side
    10,742x = 261,824,761
  5. Step 5: Solve for x
    x = 261,824,761/10,742
  6. Step 6: Final answer
    x = 24,373.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.