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Finding the Third Proportional to 31,921 and 50,521

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Solution

The third proportional to 31,921 and 50,521 is: 79,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,921 : 50,521 = 50,521 : x
  2. Step 2: Convert to fraction form
    31,921/50,521 = 50,521/x
  3. Step 3: Cross multiply
    31,921x = 50,521 × 50,521
  4. Step 4: Simplify right side
    31,921x = 2,552,371,441
  5. Step 5: Solve for x
    x = 2,552,371,441/31,921
  6. Step 6: Final answer
    x = 79,959.01

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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.