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Finding the Third Proportional to 1,603.55 and 2,859.05

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Solution

The third proportional to 1,603.55 and 2,859.05 is: 5,097.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.55 : 2,859.05 = 2,859.05 : x
  2. Step 2: Convert to fraction form
    1,603.55/2,859.05 = 2,859.05/x
  3. Step 3: Cross multiply
    1,603.55x = 2,859.05 × 2,859.05
  4. Step 4: Simplify right side
    1,603.55x = 8,174,149.03
  5. Step 5: Solve for x
    x = 8,174,149.03/1,603.55
  6. Step 6: Final answer
    x = 5,097.54

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.