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Finding the Third Proportional to 3,448.13 and 4,519.69

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Solution

The third proportional to 3,448.13 and 4,519.69 is: 5,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.13 : 4,519.69 = 4,519.69 : x
  2. Step 2: Convert to fraction form
    3,448.13/4,519.69 = 4,519.69/x
  3. Step 3: Cross multiply
    3,448.13x = 4,519.69 × 4,519.69
  4. Step 4: Simplify right side
    3,448.13x = 20,427,575.10
  5. Step 5: Solve for x
    x = 20,427,575.10/3,448.13
  6. Step 6: Final answer
    x = 5,924.26

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.