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Finding the Third Proportional to 41,589.28 and 65,156.91

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Solution

The third proportional to 41,589.28 and 65,156.91 is: 102,079.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,589.28 : 65,156.91 = 65,156.91 : x
  2. Step 2: Convert to fraction form
    41,589.28/65,156.91 = 65,156.91/x
  3. Step 3: Cross multiply
    41,589.28x = 65,156.91 × 65,156.91
  4. Step 4: Simplify right side
    41,589.28x = 4,245,422,432.07
  5. Step 5: Solve for x
    x = 4,245,422,432.07/41,589.28
  6. Step 6: Final answer
    x = 102,079.73

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.