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Finding the Third Proportional to 39,686 and 59,935

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Solution

The third proportional to 39,686 and 59,935 is: 90,515.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,686 : 59,935 = 59,935 : x
  2. Step 2: Convert to fraction form
    39,686/59,935 = 59,935/x
  3. Step 3: Cross multiply
    39,686x = 59,935 × 59,935
  4. Step 4: Simplify right side
    39,686x = 3,592,204,225
  5. Step 5: Solve for x
    x = 3,592,204,225/39,686
  6. Step 6: Final answer
    x = 90,515.65

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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.