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Finding the Third Proportional to 22,034 and 48,442

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Solution

The third proportional to 22,034 and 48,442 is: 106,500.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,034 : 48,442 = 48,442 : x
  2. Step 2: Convert to fraction form
    22,034/48,442 = 48,442/x
  3. Step 3: Cross multiply
    22,034x = 48,442 × 48,442
  4. Step 4: Simplify right side
    22,034x = 2,346,627,364
  5. Step 5: Solve for x
    x = 2,346,627,364/22,034
  6. Step 6: Final answer
    x = 106,500.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.