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Finding the Third Proportional to 1,542.75 and 3,329.25

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Solution

The third proportional to 1,542.75 and 3,329.25 is: 7,184.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.75 : 3,329.25 = 3,329.25 : x
  2. Step 2: Convert to fraction form
    1,542.75/3,329.25 = 3,329.25/x
  3. Step 3: Cross multiply
    1,542.75x = 3,329.25 × 3,329.25
  4. Step 4: Simplify right side
    1,542.75x = 11,083,905.56
  5. Step 5: Solve for x
    x = 11,083,905.56/1,542.75
  6. Step 6: Final answer
    x = 7,184.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.