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Finding the Third Proportional to 41,146.50 and 61,449.75

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Solution

The third proportional to 41,146.50 and 61,449.75 is: 91,771.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,146.50 : 61,449.75 = 61,449.75 : x
  2. Step 2: Convert to fraction form
    41,146.50/61,449.75 = 61,449.75/x
  3. Step 3: Cross multiply
    41,146.50x = 61,449.75 × 61,449.75
  4. Step 4: Simplify right side
    41,146.50x = 3,776,071,775.06
  5. Step 5: Solve for x
    x = 3,776,071,775.06/41,146.50
  6. Step 6: Final answer
    x = 91,771.40

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.