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Finding the Third Proportional to 38,986 and 62,786

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Solution

The third proportional to 38,986 and 62,786 is: 101,115.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,986 : 62,786 = 62,786 : x
  2. Step 2: Convert to fraction form
    38,986/62,786 = 62,786/x
  3. Step 3: Cross multiply
    38,986x = 62,786 × 62,786
  4. Step 4: Simplify right side
    38,986x = 3,942,081,796
  5. Step 5: Solve for x
    x = 3,942,081,796/38,986
  6. Step 6: Final answer
    x = 101,115.32

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.