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Finding the Third Proportional to 3,019.78 and 4,965.05

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Solution

The third proportional to 3,019.78 and 4,965.05 is: 8,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,019.78 : 4,965.05 = 4,965.05 : x
  2. Step 2: Convert to fraction form
    3,019.78/4,965.05 = 4,965.05/x
  3. Step 3: Cross multiply
    3,019.78x = 4,965.05 × 4,965.05
  4. Step 4: Simplify right side
    3,019.78x = 24,651,690.47
  5. Step 5: Solve for x
    x = 24,651,690.47/3,019.78
  6. Step 6: Final answer
    x = 8,163.40

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.