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Finding the Third Proportional to 49,789.69 and 73,927.69

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Solution

The third proportional to 49,789.69 and 73,927.69 is: 109,767.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,789.69 : 73,927.69 = 73,927.69 : x
  2. Step 2: Convert to fraction form
    49,789.69/73,927.69 = 73,927.69/x
  3. Step 3: Cross multiply
    49,789.69x = 73,927.69 × 73,927.69
  4. Step 4: Simplify right side
    49,789.69x = 5,465,302,979.10
  5. Step 5: Solve for x
    x = 5,465,302,979.10/49,789.69
  6. Step 6: Final answer
    x = 109,767.77

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.