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Finding the Third Proportional to 22,452 and 31,890

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Solution

The third proportional to 22,452 and 31,890 is: 45,295.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,452 : 31,890 = 31,890 : x
  2. Step 2: Convert to fraction form
    22,452/31,890 = 31,890/x
  3. Step 3: Cross multiply
    22,452x = 31,890 × 31,890
  4. Step 4: Simplify right side
    22,452x = 1,016,972,100
  5. Step 5: Solve for x
    x = 1,016,972,100/22,452
  6. Step 6: Final answer
    x = 45,295.39

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.