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Finding the Third Proportional to 41,144.81 and 61,448.06

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Solution

The third proportional to 41,144.81 and 61,448.06 is: 91,770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,144.81 : 61,448.06 = 61,448.06 : x
  2. Step 2: Convert to fraction form
    41,144.81/61,448.06 = 61,448.06/x
  3. Step 3: Cross multiply
    41,144.81x = 61,448.06 × 61,448.06
  4. Step 4: Simplify right side
    41,144.81x = 3,775,864,385.00
  5. Step 5: Solve for x
    x = 3,775,864,385.00/41,144.81
  6. Step 6: Final answer
    x = 91,770.12

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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.