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Finding the Third Proportional to 49,023 and 73,338.75

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Solution

The third proportional to 49,023 and 73,338.75 is: 109,715.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,023 : 73,338.75 = 73,338.75 : x
  2. Step 2: Convert to fraction form
    49,023/73,338.75 = 73,338.75/x
  3. Step 3: Cross multiply
    49,023x = 73,338.75 × 73,338.75
  4. Step 4: Simplify right side
    49,023x = 5,378,572,251.56
  5. Step 5: Solve for x
    x = 5,378,572,251.56/49,023
  6. Step 6: Final answer
    x = 109,715.28

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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.