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Finding the Third Proportional to 48,736 and 73,464

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Solution

The third proportional to 48,736 and 73,464 is: 110,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,736 : 73,464 = 73,464 : x
  2. Step 2: Convert to fraction form
    48,736/73,464 = 73,464/x
  3. Step 3: Cross multiply
    48,736x = 73,464 × 73,464
  4. Step 4: Simplify right side
    48,736x = 5,396,959,296
  5. Step 5: Solve for x
    x = 5,396,959,296/48,736
  6. Step 6: Final answer
    x = 110,738.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.