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Finding the Third Proportional to 40,615.50 and 84,481.13

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Solution

The third proportional to 40,615.50 and 84,481.13 is: 175,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,615.50 : 84,481.13 = 84,481.13 : x
  2. Step 2: Convert to fraction form
    40,615.50/84,481.13 = 84,481.13/x
  3. Step 3: Cross multiply
    40,615.50x = 84,481.13 × 84,481.13
  4. Step 4: Simplify right side
    40,615.50x = 7,137,060,481.27
  5. Step 5: Solve for x
    x = 7,137,060,481.27/40,615.50
  6. Step 6: Final answer
    x = 175,722.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.