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Finding the Third Proportional to 20,671 and 31,951

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Solution

The third proportional to 20,671 and 31,951 is: 49,386.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,671 : 31,951 = 31,951 : x
  2. Step 2: Convert to fraction form
    20,671/31,951 = 31,951/x
  3. Step 3: Cross multiply
    20,671x = 31,951 × 31,951
  4. Step 4: Simplify right side
    20,671x = 1,020,866,401
  5. Step 5: Solve for x
    x = 1,020,866,401/20,671
  6. Step 6: Final answer
    x = 49,386.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.