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Finding the Third Proportional to 20,791 and 31,154

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Solution

The third proportional to 20,791 and 31,154 is: 46,682.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,791 : 31,154 = 31,154 : x
  2. Step 2: Convert to fraction form
    20,791/31,154 = 31,154/x
  3. Step 3: Cross multiply
    20,791x = 31,154 × 31,154
  4. Step 4: Simplify right side
    20,791x = 970,571,716
  5. Step 5: Solve for x
    x = 970,571,716/20,791
  6. Step 6: Final answer
    x = 46,682.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.