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Finding the Third Proportional to 31,917 and 50,516

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Solution

The third proportional to 31,917 and 50,516 is: 79,953.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,917 : 50,516 = 50,516 : x
  2. Step 2: Convert to fraction form
    31,917/50,516 = 50,516/x
  3. Step 3: Cross multiply
    31,917x = 50,516 × 50,516
  4. Step 4: Simplify right side
    31,917x = 2,551,866,256
  5. Step 5: Solve for x
    x = 2,551,866,256/31,917
  6. Step 6: Final answer
    x = 79,953.20

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.