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Finding the Third Proportional to 40,866.75 and 83,383.88

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Solution

The third proportional to 40,866.75 and 83,383.88 is: 170,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,866.75 : 83,383.88 = 83,383.88 : x
  2. Step 2: Convert to fraction form
    40,866.75/83,383.88 = 83,383.88/x
  3. Step 3: Cross multiply
    40,866.75x = 83,383.88 × 83,383.88
  4. Step 4: Simplify right side
    40,866.75x = 6,952,870,610.02
  5. Step 5: Solve for x
    x = 6,952,870,610.02/40,866.75
  6. Step 6: Final answer
    x = 170,135.15

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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.