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Finding the Third Proportional to 1,749.56 and 2,712.94

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Solution

The third proportional to 1,749.56 and 2,712.94 is: 4,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.56 : 2,712.94 = 2,712.94 : x
  2. Step 2: Convert to fraction form
    1,749.56/2,712.94 = 2,712.94/x
  3. Step 3: Cross multiply
    1,749.56x = 2,712.94 × 2,712.94
  4. Step 4: Simplify right side
    1,749.56x = 7,360,029.88
  5. Step 5: Solve for x
    x = 7,360,029.88/1,749.56
  6. Step 6: Final answer
    x = 4,206.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.