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Finding the Third Proportional to 22,414 and 48,287

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Solution

The third proportional to 22,414 and 48,287 is: 104,025.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,414 : 48,287 = 48,287 : x
  2. Step 2: Convert to fraction form
    22,414/48,287 = 48,287/x
  3. Step 3: Cross multiply
    22,414x = 48,287 × 48,287
  4. Step 4: Simplify right side
    22,414x = 2,331,634,369
  5. Step 5: Solve for x
    x = 2,331,634,369/22,414
  6. Step 6: Final answer
    x = 104,025.80

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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.