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Finding the Third Proportional to 40,801.22 and 61,441.03

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Solution

The third proportional to 40,801.22 and 61,441.03 is: 92,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,801.22 : 61,441.03 = 61,441.03 : x
  2. Step 2: Convert to fraction form
    40,801.22/61,441.03 = 61,441.03/x
  3. Step 3: Cross multiply
    40,801.22x = 61,441.03 × 61,441.03
  4. Step 4: Simplify right side
    40,801.22x = 3,775,000,321.06
  5. Step 5: Solve for x
    x = 3,775,000,321.06/40,801.22
  6. Step 6: Final answer
    x = 92,521.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.