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Finding the Third Proportional to 3,471.61 and 5,370.05

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Solution

The third proportional to 3,471.61 and 5,370.05 is: 8,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.61 : 5,370.05 = 5,370.05 : x
  2. Step 2: Convert to fraction form
    3,471.61/5,370.05 = 5,370.05/x
  3. Step 3: Cross multiply
    3,471.61x = 5,370.05 × 5,370.05
  4. Step 4: Simplify right side
    3,471.61x = 28,837,403.44
  5. Step 5: Solve for x
    x = 28,837,403.44/3,471.61
  6. Step 6: Final answer
    x = 8,306.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.