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Finding the Third Proportional to 22,860 and 34,534

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Solution

The third proportional to 22,860 and 34,534 is: 52,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,860 : 34,534 = 34,534 : x
  2. Step 2: Convert to fraction form
    22,860/34,534 = 34,534/x
  3. Step 3: Cross multiply
    22,860x = 34,534 × 34,534
  4. Step 4: Simplify right side
    22,860x = 1,192,597,156
  5. Step 5: Solve for x
    x = 1,192,597,156/22,860
  6. Step 6: Final answer
    x = 52,169.60

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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.