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Finding the Third Proportional to 2,775.38 and 6,797.81

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Solution

The third proportional to 2,775.38 and 6,797.81 is: 16,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,775.38 : 6,797.81 = 6,797.81 : x
  2. Step 2: Convert to fraction form
    2,775.38/6,797.81 = 6,797.81/x
  3. Step 3: Cross multiply
    2,775.38x = 6,797.81 × 6,797.81
  4. Step 4: Simplify right side
    2,775.38x = 46,210,254.79
  5. Step 5: Solve for x
    x = 46,210,254.79/2,775.38
  6. Step 6: Final answer
    x = 16,650.09

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.