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Finding the Third Proportional to 41,089.50 and 88,671

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Solution

The third proportional to 41,089.50 and 88,671 is: 191,351.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,089.50 : 88,671 = 88,671 : x
  2. Step 2: Convert to fraction form
    41,089.50/88,671 = 88,671/x
  3. Step 3: Cross multiply
    41,089.50x = 88,671 × 88,671
  4. Step 4: Simplify right side
    41,089.50x = 7,862,546,241
  5. Step 5: Solve for x
    x = 7,862,546,241/41,089.50
  6. Step 6: Final answer
    x = 191,351.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.