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Finding the Third Proportional to 40,713 and 85,800

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Solution

The third proportional to 40,713 and 85,800 is: 180,817.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,713 : 85,800 = 85,800 : x
  2. Step 2: Convert to fraction form
    40,713/85,800 = 85,800/x
  3. Step 3: Cross multiply
    40,713x = 85,800 × 85,800
  4. Step 4: Simplify right side
    40,713x = 7,361,640,000
  5. Step 5: Solve for x
    x = 7,361,640,000/40,713
  6. Step 6: Final answer
    x = 180,817.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.