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Finding the Third Proportional to 20,961 and 31,156

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Solution

The third proportional to 20,961 and 31,156 is: 46,309.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,961 : 31,156 = 31,156 : x
  2. Step 2: Convert to fraction form
    20,961/31,156 = 31,156/x
  3. Step 3: Cross multiply
    20,961x = 31,156 × 31,156
  4. Step 4: Simplify right side
    20,961x = 970,696,336
  5. Step 5: Solve for x
    x = 970,696,336/20,961
  6. Step 6: Final answer
    x = 46,309.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.