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Finding the Third Proportional to 41,786 and 61,078

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Solution

The third proportional to 41,786 and 61,078 is: 89,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,786 : 61,078 = 61,078 : x
  2. Step 2: Convert to fraction form
    41,786/61,078 = 61,078/x
  3. Step 3: Cross multiply
    41,786x = 61,078 × 61,078
  4. Step 4: Simplify right side
    41,786x = 3,730,522,084
  5. Step 5: Solve for x
    x = 3,730,522,084/41,786
  6. Step 6: Final answer
    x = 89,276.84

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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.