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Finding the Third Proportional to 40,241.81 and 87,402.75

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Solution

The third proportional to 40,241.81 and 87,402.75 is: 189,833.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,241.81 : 87,402.75 = 87,402.75 : x
  2. Step 2: Convert to fraction form
    40,241.81/87,402.75 = 87,402.75/x
  3. Step 3: Cross multiply
    40,241.81x = 87,402.75 × 87,402.75
  4. Step 4: Simplify right side
    40,241.81x = 7,639,240,707.56
  5. Step 5: Solve for x
    x = 7,639,240,707.56/40,241.81
  6. Step 6: Final answer
    x = 189,833.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.