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Finding the Third Proportional to 1,603.13 and 4,149.56

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Solution

The third proportional to 1,603.13 and 4,149.56 is: 10,740.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.13 : 4,149.56 = 4,149.56 : x
  2. Step 2: Convert to fraction form
    1,603.13/4,149.56 = 4,149.56/x
  3. Step 3: Cross multiply
    1,603.13x = 4,149.56 × 4,149.56
  4. Step 4: Simplify right side
    1,603.13x = 17,218,868.94
  5. Step 5: Solve for x
    x = 17,218,868.94/1,603.13
  6. Step 6: Final answer
    x = 10,740.81

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.