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Finding the Third Proportional to 1,087.59 and 2,566.97

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Solution

The third proportional to 1,087.59 and 2,566.97 is: 6,058.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.59 : 2,566.97 = 2,566.97 : x
  2. Step 2: Convert to fraction form
    1,087.59/2,566.97 = 2,566.97/x
  3. Step 3: Cross multiply
    1,087.59x = 2,566.97 × 2,566.97
  4. Step 4: Simplify right side
    1,087.59x = 6,589,328.56
  5. Step 5: Solve for x
    x = 6,589,328.56/1,087.59
  6. Step 6: Final answer
    x = 6,058.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.