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Finding the Third Proportional to 1,486.69 and 2,216.81

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Solution

The third proportional to 1,486.69 and 2,216.81 is: 3,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,486.69 : 2,216.81 = 2,216.81 : x
  2. Step 2: Convert to fraction form
    1,486.69/2,216.81 = 2,216.81/x
  3. Step 3: Cross multiply
    1,486.69x = 2,216.81 × 2,216.81
  4. Step 4: Simplify right side
    1,486.69x = 4,914,257.66
  5. Step 5: Solve for x
    x = 4,914,257.66/1,486.69
  6. Step 6: Final answer
    x = 3,305.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.