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Finding the Third Proportional to 1,542.54 and 3,373.40

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Solution

The third proportional to 1,542.54 and 3,373.40 is: 7,377.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.54 : 3,373.40 = 3,373.40 : x
  2. Step 2: Convert to fraction form
    1,542.54/3,373.40 = 3,373.40/x
  3. Step 3: Cross multiply
    1,542.54x = 3,373.40 × 3,373.40
  4. Step 4: Simplify right side
    1,542.54x = 11,379,859.84
  5. Step 5: Solve for x
    x = 11,379,859.84/1,542.54
  6. Step 6: Final answer
    x = 7,377.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.