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Finding the Third Proportional to 39,969 and 62,019

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Solution

The third proportional to 39,969 and 62,019 is: 96,233.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,969 : 62,019 = 62,019 : x
  2. Step 2: Convert to fraction form
    39,969/62,019 = 62,019/x
  3. Step 3: Cross multiply
    39,969x = 62,019 × 62,019
  4. Step 4: Simplify right side
    39,969x = 3,846,356,361
  5. Step 5: Solve for x
    x = 3,846,356,361/39,969
  6. Step 6: Final answer
    x = 96,233.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.