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Finding the Third Proportional to 22,324 and 33,775

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Solution

The third proportional to 22,324 and 33,775 is: 51,099.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,324 : 33,775 = 33,775 : x
  2. Step 2: Convert to fraction form
    22,324/33,775 = 33,775/x
  3. Step 3: Cross multiply
    22,324x = 33,775 × 33,775
  4. Step 4: Simplify right side
    22,324x = 1,140,750,625
  5. Step 5: Solve for x
    x = 1,140,750,625/22,324
  6. Step 6: Final answer
    x = 51,099.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.