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Finding the Third Proportional to 49,278.38 and 74,532.38

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Solution

The third proportional to 49,278.38 and 74,532.38 is: 112,728.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,278.38 : 74,532.38 = 74,532.38 : x
  2. Step 2: Convert to fraction form
    49,278.38/74,532.38 = 74,532.38/x
  3. Step 3: Cross multiply
    49,278.38x = 74,532.38 × 74,532.38
  4. Step 4: Simplify right side
    49,278.38x = 5,555,074,923.14
  5. Step 5: Solve for x
    x = 5,555,074,923.14/49,278.38
  6. Step 6: Final answer
    x = 112,728.45

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