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Finding the Third Proportional to 40,475.25 and 82,555.88

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Solution

The third proportional to 40,475.25 and 82,555.88 is: 168,386.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,475.25 : 82,555.88 = 82,555.88 : x
  2. Step 2: Convert to fraction form
    40,475.25/82,555.88 = 82,555.88/x
  3. Step 3: Cross multiply
    40,475.25x = 82,555.88 × 82,555.88
  4. Step 4: Simplify right side
    40,475.25x = 6,815,472,497.02
  5. Step 5: Solve for x
    x = 6,815,472,497.02/40,475.25
  6. Step 6: Final answer
    x = 168,386.17

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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.