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Finding the Third Proportional to 794.81 and 1,913.91

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Solution

The third proportional to 794.81 and 1,913.91 is: 4,608.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.81 : 1,913.91 = 1,913.91 : x
  2. Step 2: Convert to fraction form
    794.81/1,913.91 = 1,913.91/x
  3. Step 3: Cross multiply
    794.81x = 1,913.91 × 1,913.91
  4. Step 4: Simplify right side
    794.81x = 3,663,037.13
  5. Step 5: Solve for x
    x = 3,663,037.13/794.81
  6. Step 6: Final answer
    x = 4,608.68

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.