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Finding the Third Proportional to 31,116 and 41,922

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Solution

The third proportional to 31,116 and 41,922 is: 56,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,116 : 41,922 = 41,922 : x
  2. Step 2: Convert to fraction form
    31,116/41,922 = 41,922/x
  3. Step 3: Cross multiply
    31,116x = 41,922 × 41,922
  4. Step 4: Simplify right side
    31,116x = 1,757,454,084
  5. Step 5: Solve for x
    x = 1,757,454,084/31,116
  6. Step 6: Final answer
    x = 56,480.72

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.