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Finding the Third Proportional to 3,164.77 and 4,900.92

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Solution

The third proportional to 3,164.77 and 4,900.92 is: 7,589.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.77 : 4,900.92 = 4,900.92 : x
  2. Step 2: Convert to fraction form
    3,164.77/4,900.92 = 4,900.92/x
  3. Step 3: Cross multiply
    3,164.77x = 4,900.92 × 4,900.92
  4. Step 4: Simplify right side
    3,164.77x = 24,019,035.22
  5. Step 5: Solve for x
    x = 24,019,035.22/3,164.77
  6. Step 6: Final answer
    x = 7,589.51

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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.