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Finding the Third Proportional to 1,826.25 and 2,749.13

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Solution

The third proportional to 1,826.25 and 2,749.13 is: 4,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.25 : 2,749.13 = 2,749.13 : x
  2. Step 2: Convert to fraction form
    1,826.25/2,749.13 = 2,749.13/x
  3. Step 3: Cross multiply
    1,826.25x = 2,749.13 × 2,749.13
  4. Step 4: Simplify right side
    1,826.25x = 7,557,688.27
  5. Step 5: Solve for x
    x = 7,557,688.27/1,826.25
  6. Step 6: Final answer
    x = 4,138.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.