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Finding the Third Proportional to 40,540.50 and 82,275.75

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Solution

The third proportional to 40,540.50 and 82,275.75 is: 166,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,540.50 : 82,275.75 = 82,275.75 : x
  2. Step 2: Convert to fraction form
    40,540.50/82,275.75 = 82,275.75/x
  3. Step 3: Cross multiply
    40,540.50x = 82,275.75 × 82,275.75
  4. Step 4: Simplify right side
    40,540.50x = 6,769,299,038.06
  5. Step 5: Solve for x
    x = 6,769,299,038.06/40,540.50
  6. Step 6: Final answer
    x = 166,976.21

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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.