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Finding the Third Proportional to 48,649 and 73,955

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Solution

The third proportional to 48,649 and 73,955 is: 112,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,649 : 73,955 = 73,955 : x
  2. Step 2: Convert to fraction form
    48,649/73,955 = 73,955/x
  3. Step 3: Cross multiply
    48,649x = 73,955 × 73,955
  4. Step 4: Simplify right side
    48,649x = 5,469,342,025
  5. Step 5: Solve for x
    x = 5,469,342,025/48,649
  6. Step 6: Final answer
    x = 112,424.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.