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Finding the Third Proportional to 41,885.56 and 84,986.13

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Solution

The third proportional to 41,885.56 and 84,986.13 is: 172,437.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,885.56 : 84,986.13 = 84,986.13 : x
  2. Step 2: Convert to fraction form
    41,885.56/84,986.13 = 84,986.13/x
  3. Step 3: Cross multiply
    41,885.56x = 84,986.13 × 84,986.13
  4. Step 4: Simplify right side
    41,885.56x = 7,222,641,442.52
  5. Step 5: Solve for x
    x = 7,222,641,442.52/41,885.56
  6. Step 6: Final answer
    x = 172,437.49

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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.