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Finding the Third Proportional to 2,693 and 3,950.81

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Solution

The third proportional to 2,693 and 3,950.81 is: 5,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693 : 3,950.81 = 3,950.81 : x
  2. Step 2: Convert to fraction form
    2,693/3,950.81 = 3,950.81/x
  3. Step 3: Cross multiply
    2,693x = 3,950.81 × 3,950.81
  4. Step 4: Simplify right side
    2,693x = 15,608,919.41
  5. Step 5: Solve for x
    x = 15,608,919.41/2,693
  6. Step 6: Final answer
    x = 5,796.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.