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Finding the Third Proportional to 40,867 and 62,486

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Solution

The third proportional to 40,867 and 62,486 is: 95,541.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,867 : 62,486 = 62,486 : x
  2. Step 2: Convert to fraction form
    40,867/62,486 = 62,486/x
  3. Step 3: Cross multiply
    40,867x = 62,486 × 62,486
  4. Step 4: Simplify right side
    40,867x = 3,904,500,196
  5. Step 5: Solve for x
    x = 3,904,500,196/40,867
  6. Step 6: Final answer
    x = 95,541.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.