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Finding the Third Proportional to 3,266.94 and 4,977.19

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Solution

The third proportional to 3,266.94 and 4,977.19 is: 7,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.94 : 4,977.19 = 4,977.19 : x
  2. Step 2: Convert to fraction form
    3,266.94/4,977.19 = 4,977.19/x
  3. Step 3: Cross multiply
    3,266.94x = 4,977.19 × 4,977.19
  4. Step 4: Simplify right side
    3,266.94x = 24,772,395.41
  5. Step 5: Solve for x
    x = 24,772,395.41/3,266.94
  6. Step 6: Final answer
    x = 7,582.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.