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Finding the Third Proportional to 23,180 and 34,881

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Solution

The third proportional to 23,180 and 34,881 is: 52,488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,180 : 34,881 = 34,881 : x
  2. Step 2: Convert to fraction form
    23,180/34,881 = 34,881/x
  3. Step 3: Cross multiply
    23,180x = 34,881 × 34,881
  4. Step 4: Simplify right side
    23,180x = 1,216,684,161
  5. Step 5: Solve for x
    x = 1,216,684,161/23,180
  6. Step 6: Final answer
    x = 52,488.53

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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.