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Finding the Third Proportional to 41,720.75 and 61,009.38

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Solution

The third proportional to 41,720.75 and 61,009.38 is: 89,215.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,720.75 : 61,009.38 = 61,009.38 : x
  2. Step 2: Convert to fraction form
    41,720.75/61,009.38 = 61,009.38/x
  3. Step 3: Cross multiply
    41,720.75x = 61,009.38 × 61,009.38
  4. Step 4: Simplify right side
    41,720.75x = 3,722,143,837.89
  5. Step 5: Solve for x
    x = 3,722,143,837.89/41,720.75
  6. Step 6: Final answer
    x = 89,215.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.