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Finding the Third Proportional to 39,814 and 62,142

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Solution

The third proportional to 39,814 and 62,142 is: 96,991.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,814 : 62,142 = 62,142 : x
  2. Step 2: Convert to fraction form
    39,814/62,142 = 62,142/x
  3. Step 3: Cross multiply
    39,814x = 62,142 × 62,142
  4. Step 4: Simplify right side
    39,814x = 3,861,628,164
  5. Step 5: Solve for x
    x = 3,861,628,164/39,814
  6. Step 6: Final answer
    x = 96,991.72

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.