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Finding the Third Proportional to 22,450 and 34,761

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Solution

The third proportional to 22,450 and 34,761 is: 53,823.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,450 : 34,761 = 34,761 : x
  2. Step 2: Convert to fraction form
    22,450/34,761 = 34,761/x
  3. Step 3: Cross multiply
    22,450x = 34,761 × 34,761
  4. Step 4: Simplify right side
    22,450x = 1,208,327,121
  5. Step 5: Solve for x
    x = 1,208,327,121/22,450
  6. Step 6: Final answer
    x = 53,823.03

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Why These Related Problems?

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