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Finding the Third Proportional to 2,587.78 and 3,040.03

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Solution

The third proportional to 2,587.78 and 3,040.03 is: 3,571.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587.78 : 3,040.03 = 3,040.03 : x
  2. Step 2: Convert to fraction form
    2,587.78/3,040.03 = 3,040.03/x
  3. Step 3: Cross multiply
    2,587.78x = 3,040.03 × 3,040.03
  4. Step 4: Simplify right side
    2,587.78x = 9,241,790.00
  5. Step 5: Solve for x
    x = 9,241,790.00/2,587.78
  6. Step 6: Final answer
    x = 3,571.32

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.