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Finding the Third Proportional to 1,488 and 3,204.19

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Solution

The third proportional to 1,488 and 3,204.19 is: 6,899.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,488 : 3,204.19 = 3,204.19 : x
  2. Step 2: Convert to fraction form
    1,488/3,204.19 = 3,204.19/x
  3. Step 3: Cross multiply
    1,488x = 3,204.19 × 3,204.19
  4. Step 4: Simplify right side
    1,488x = 10,266,817.54
  5. Step 5: Solve for x
    x = 10,266,817.54/1,488
  6. Step 6: Final answer
    x = 6,899.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.