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Finding the Third Proportional to 2,010.13 and 3,027.75

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Solution

The third proportional to 2,010.13 and 3,027.75 is: 4,560.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,010.13 : 3,027.75 = 3,027.75 : x
  2. Step 2: Convert to fraction form
    2,010.13/3,027.75 = 3,027.75/x
  3. Step 3: Cross multiply
    2,010.13x = 3,027.75 × 3,027.75
  4. Step 4: Simplify right side
    2,010.13x = 9,167,270.06
  5. Step 5: Solve for x
    x = 9,167,270.06/2,010.13
  6. Step 6: Final answer
    x = 4,560.55

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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.