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Finding the Third Proportional to 41,508.75 and 91,739

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Solution

The third proportional to 41,508.75 and 91,739 is: 202,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,508.75 : 91,739 = 91,739 : x
  2. Step 2: Convert to fraction form
    41,508.75/91,739 = 91,739/x
  3. Step 3: Cross multiply
    41,508.75x = 91,739 × 91,739
  4. Step 4: Simplify right side
    41,508.75x = 8,416,044,121
  5. Step 5: Solve for x
    x = 8,416,044,121/41,508.75
  6. Step 6: Final answer
    x = 202,753.49

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.