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Finding the Third Proportional to 40,456.13 and 82,518.75

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Solution

The third proportional to 40,456.13 and 82,518.75 is: 168,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,456.13 : 82,518.75 = 82,518.75 : x
  2. Step 2: Convert to fraction form
    40,456.13/82,518.75 = 82,518.75/x
  3. Step 3: Cross multiply
    40,456.13x = 82,518.75 × 82,518.75
  4. Step 4: Simplify right side
    40,456.13x = 6,809,344,101.56
  5. Step 5: Solve for x
    x = 6,809,344,101.56/40,456.13
  6. Step 6: Final answer
    x = 168,314.29

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.