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Finding the Third Proportional to 1,658.67 and 2,589.05

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Solution

The third proportional to 1,658.67 and 2,589.05 is: 4,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.67 : 2,589.05 = 2,589.05 : x
  2. Step 2: Convert to fraction form
    1,658.67/2,589.05 = 2,589.05/x
  3. Step 3: Cross multiply
    1,658.67x = 2,589.05 × 2,589.05
  4. Step 4: Simplify right side
    1,658.67x = 6,703,163.72
  5. Step 5: Solve for x
    x = 6,703,163.72/1,658.67
  6. Step 6: Final answer
    x = 4,041.28

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.