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Finding the Third Proportional to 2,351.05 and 3,443.08

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Solution

The third proportional to 2,351.05 and 3,443.08 is: 5,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.05 : 3,443.08 = 3,443.08 : x
  2. Step 2: Convert to fraction form
    2,351.05/3,443.08 = 3,443.08/x
  3. Step 3: Cross multiply
    2,351.05x = 3,443.08 × 3,443.08
  4. Step 4: Simplify right side
    2,351.05x = 11,854,823.12
  5. Step 5: Solve for x
    x = 11,854,823.12/2,351.05
  6. Step 6: Final answer
    x = 5,042.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.