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Finding the Third Proportional to 39,683 and 59,930

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Solution

The third proportional to 39,683 and 59,930 is: 90,507.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,683 : 59,930 = 59,930 : x
  2. Step 2: Convert to fraction form
    39,683/59,930 = 59,930/x
  3. Step 3: Cross multiply
    39,683x = 59,930 × 59,930
  4. Step 4: Simplify right side
    39,683x = 3,591,604,900
  5. Step 5: Solve for x
    x = 3,591,604,900/39,683
  6. Step 6: Final answer
    x = 90,507.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.