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Finding the Third Proportional to 34,414 and 48,463

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Solution

The third proportional to 34,414 and 48,463 is: 68,247.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414 : 48,463 = 48,463 : x
  2. Step 2: Convert to fraction form
    34,414/48,463 = 48,463/x
  3. Step 3: Cross multiply
    34,414x = 48,463 × 48,463
  4. Step 4: Simplify right side
    34,414x = 2,348,662,369
  5. Step 5: Solve for x
    x = 2,348,662,369/34,414
  6. Step 6: Final answer
    x = 68,247.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.