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Finding the Third Proportional to 48,948 and 74,448

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Solution

The third proportional to 48,948 and 74,448 is: 113,232.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,948 : 74,448 = 74,448 : x
  2. Step 2: Convert to fraction form
    48,948/74,448 = 74,448/x
  3. Step 3: Cross multiply
    48,948x = 74,448 × 74,448
  4. Step 4: Simplify right side
    48,948x = 5,542,504,704
  5. Step 5: Solve for x
    x = 5,542,504,704/48,948
  6. Step 6: Final answer
    x = 113,232.51

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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.