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Finding the Third Proportional to 41,017.50 and 87,722.25

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Solution

The third proportional to 41,017.50 and 87,722.25 is: 187,607.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,017.50 : 87,722.25 = 87,722.25 : x
  2. Step 2: Convert to fraction form
    41,017.50/87,722.25 = 87,722.25/x
  3. Step 3: Cross multiply
    41,017.50x = 87,722.25 × 87,722.25
  4. Step 4: Simplify right side
    41,017.50x = 7,695,193,145.06
  5. Step 5: Solve for x
    x = 7,695,193,145.06/41,017.50
  6. Step 6: Final answer
    x = 187,607.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.