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Finding the Third Proportional to 40,682 and 62,986

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Solution

The third proportional to 40,682 and 62,986 is: 97,518.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,682 : 62,986 = 62,986 : x
  2. Step 2: Convert to fraction form
    40,682/62,986 = 62,986/x
  3. Step 3: Cross multiply
    40,682x = 62,986 × 62,986
  4. Step 4: Simplify right side
    40,682x = 3,967,236,196
  5. Step 5: Solve for x
    x = 3,967,236,196/40,682
  6. Step 6: Final answer
    x = 97,518.22

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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.