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Finding the Third Proportional to 2,542.87 and 3,887.58

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Solution

The third proportional to 2,542.87 and 3,887.58 is: 5,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.87 : 3,887.58 = 3,887.58 : x
  2. Step 2: Convert to fraction form
    2,542.87/3,887.58 = 3,887.58/x
  3. Step 3: Cross multiply
    2,542.87x = 3,887.58 × 3,887.58
  4. Step 4: Simplify right side
    2,542.87x = 15,113,314.93
  5. Step 5: Solve for x
    x = 15,113,314.93/2,542.87
  6. Step 6: Final answer
    x = 5,943.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.