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Finding the Third Proportional to 13,860 and 17,534

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Solution

The third proportional to 13,860 and 17,534 is: 22,181.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860 : 17,534 = 17,534 : x
  2. Step 2: Convert to fraction form
    13,860/17,534 = 17,534/x
  3. Step 3: Cross multiply
    13,860x = 17,534 × 17,534
  4. Step 4: Simplify right side
    13,860x = 307,441,156
  5. Step 5: Solve for x
    x = 307,441,156/13,860
  6. Step 6: Final answer
    x = 22,181.90

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.