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Finding the Third Proportional to 2,398.13 and 2,745.75

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Solution

The third proportional to 2,398.13 and 2,745.75 is: 3,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.13 : 2,745.75 = 2,745.75 : x
  2. Step 2: Convert to fraction form
    2,398.13/2,745.75 = 2,745.75/x
  3. Step 3: Cross multiply
    2,398.13x = 2,745.75 × 2,745.75
  4. Step 4: Simplify right side
    2,398.13x = 7,539,143.06
  5. Step 5: Solve for x
    x = 7,539,143.06/2,398.13
  6. Step 6: Final answer
    x = 3,143.77

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.