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Finding the Third Proportional to 2,103.47 and 3,299.91

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Solution

The third proportional to 2,103.47 and 3,299.91 is: 5,176.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.47 : 3,299.91 = 3,299.91 : x
  2. Step 2: Convert to fraction form
    2,103.47/3,299.91 = 3,299.91/x
  3. Step 3: Cross multiply
    2,103.47x = 3,299.91 × 3,299.91
  4. Step 4: Simplify right side
    2,103.47x = 10,889,381.26
  5. Step 5: Solve for x
    x = 10,889,381.26/2,103.47
  6. Step 6: Final answer
    x = 5,176.87

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.