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Finding the Third Proportional to 49,578.75 and 74,478

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Solution

The third proportional to 49,578.75 and 74,478 is: 111,882.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578.75 : 74,478 = 74,478 : x
  2. Step 2: Convert to fraction form
    49,578.75/74,478 = 74,478/x
  3. Step 3: Cross multiply
    49,578.75x = 74,478 × 74,478
  4. Step 4: Simplify right side
    49,578.75x = 5,546,972,484
  5. Step 5: Solve for x
    x = 5,546,972,484/49,578.75
  6. Step 6: Final answer
    x = 111,882.06

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