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Finding the Third Proportional to 3,404.91 and 5,206.36

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Solution

The third proportional to 3,404.91 and 5,206.36 is: 7,960.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.91 : 5,206.36 = 5,206.36 : x
  2. Step 2: Convert to fraction form
    3,404.91/5,206.36 = 5,206.36/x
  3. Step 3: Cross multiply
    3,404.91x = 5,206.36 × 5,206.36
  4. Step 4: Simplify right side
    3,404.91x = 27,106,177.94
  5. Step 5: Solve for x
    x = 27,106,177.94/3,404.91
  6. Step 6: Final answer
    x = 7,960.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.