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Finding the Third Proportional to 49,857.75 and 74,821

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Solution

The third proportional to 49,857.75 and 74,821 is: 112,283.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,857.75 : 74,821 = 74,821 : x
  2. Step 2: Convert to fraction form
    49,857.75/74,821 = 74,821/x
  3. Step 3: Cross multiply
    49,857.75x = 74,821 × 74,821
  4. Step 4: Simplify right side
    49,857.75x = 5,598,182,041
  5. Step 5: Solve for x
    x = 5,598,182,041/49,857.75
  6. Step 6: Final answer
    x = 112,283.09

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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.