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Finding the Third Proportional to 22,314 and 48,517

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Solution

The third proportional to 22,314 and 48,517 is: 105,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,314 : 48,517 = 48,517 : x
  2. Step 2: Convert to fraction form
    22,314/48,517 = 48,517/x
  3. Step 3: Cross multiply
    22,314x = 48,517 × 48,517
  4. Step 4: Simplify right side
    22,314x = 2,353,899,289
  5. Step 5: Solve for x
    x = 2,353,899,289/22,314
  6. Step 6: Final answer
    x = 105,489.80

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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.