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Finding the Third Proportional to 49,619 and 74,438

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Solution

The third proportional to 49,619 and 74,438 is: 111,671.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,619 : 74,438 = 74,438 : x
  2. Step 2: Convert to fraction form
    49,619/74,438 = 74,438/x
  3. Step 3: Cross multiply
    49,619x = 74,438 × 74,438
  4. Step 4: Simplify right side
    49,619x = 5,541,015,844
  5. Step 5: Solve for x
    x = 5,541,015,844/49,619
  6. Step 6: Final answer
    x = 111,671.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.