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Finding the Third Proportional to 22,264 and 48,414

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Solution

The third proportional to 22,264 and 48,414 is: 105,278.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264 : 48,414 = 48,414 : x
  2. Step 2: Convert to fraction form
    22,264/48,414 = 48,414/x
  3. Step 3: Cross multiply
    22,264x = 48,414 × 48,414
  4. Step 4: Simplify right side
    22,264x = 2,343,915,396
  5. Step 5: Solve for x
    x = 2,343,915,396/22,264
  6. Step 6: Final answer
    x = 105,278.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.