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Finding the Third Proportional to 41,533 and 88,502.75

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Solution

The third proportional to 41,533 and 88,502.75 is: 188,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,533 : 88,502.75 = 88,502.75 : x
  2. Step 2: Convert to fraction form
    41,533/88,502.75 = 88,502.75/x
  3. Step 3: Cross multiply
    41,533x = 88,502.75 × 88,502.75
  4. Step 4: Simplify right side
    41,533x = 7,832,736,757.56
  5. Step 5: Solve for x
    x = 7,832,736,757.56/41,533
  6. Step 6: Final answer
    x = 188,590.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.