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Finding the Third Proportional to 3,386.81 and 4,494.94

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Solution

The third proportional to 3,386.81 and 4,494.94 is: 5,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.81 : 4,494.94 = 4,494.94 : x
  2. Step 2: Convert to fraction form
    3,386.81/4,494.94 = 4,494.94/x
  3. Step 3: Cross multiply
    3,386.81x = 4,494.94 × 4,494.94
  4. Step 4: Simplify right side
    3,386.81x = 20,204,463.13
  5. Step 5: Solve for x
    x = 20,204,463.13/3,386.81
  6. Step 6: Final answer
    x = 5,965.63

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.