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Finding the Third Proportional to 10,450 and 22,442

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Solution

The third proportional to 10,450 and 22,442 is: 48,195.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,450 : 22,442 = 22,442 : x
  2. Step 2: Convert to fraction form
    10,450/22,442 = 22,442/x
  3. Step 3: Cross multiply
    10,450x = 22,442 × 22,442
  4. Step 4: Simplify right side
    10,450x = 503,643,364
  5. Step 5: Solve for x
    x = 503,643,364/10,450
  6. Step 6: Final answer
    x = 48,195.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.