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Finding the Third Proportional to 40,617 and 82,350

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Solution

The third proportional to 40,617 and 82,350 is: 166,962.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,617 : 82,350 = 82,350 : x
  2. Step 2: Convert to fraction form
    40,617/82,350 = 82,350/x
  3. Step 3: Cross multiply
    40,617x = 82,350 × 82,350
  4. Step 4: Simplify right side
    40,617x = 6,781,522,500
  5. Step 5: Solve for x
    x = 6,781,522,500/40,617
  6. Step 6: Final answer
    x = 166,962.66

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.