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Finding the Third Proportional to 1,027.38 and 2,259.38

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Solution

The third proportional to 1,027.38 and 2,259.38 is: 4,968.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.38 : 2,259.38 = 2,259.38 : x
  2. Step 2: Convert to fraction form
    1,027.38/2,259.38 = 2,259.38/x
  3. Step 3: Cross multiply
    1,027.38x = 2,259.38 × 2,259.38
  4. Step 4: Simplify right side
    1,027.38x = 5,104,775.39
  5. Step 5: Solve for x
    x = 5,104,775.39/1,027.38
  6. Step 6: Final answer
    x = 4,968.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.