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Finding the Third Proportional to 14,318 and 31,542

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Solution

The third proportional to 14,318 and 31,542 is: 69,485.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,318 : 31,542 = 31,542 : x
  2. Step 2: Convert to fraction form
    14,318/31,542 = 31,542/x
  3. Step 3: Cross multiply
    14,318x = 31,542 × 31,542
  4. Step 4: Simplify right side
    14,318x = 994,897,764
  5. Step 5: Solve for x
    x = 994,897,764/14,318
  6. Step 6: Final answer
    x = 69,485.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.