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Finding the Third Proportional to 48,471.50 and 103,963

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Solution

The third proportional to 48,471.50 and 103,963 is: 222,982.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,471.50 : 103,963 = 103,963 : x
  2. Step 2: Convert to fraction form
    48,471.50/103,963 = 103,963/x
  3. Step 3: Cross multiply
    48,471.50x = 103,963 × 103,963
  4. Step 4: Simplify right side
    48,471.50x = 10,808,305,369
  5. Step 5: Solve for x
    x = 10,808,305,369/48,471.50
  6. Step 6: Final answer
    x = 222,982.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.