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Finding the Third Proportional to 1,266.18 and 2,003.33

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Solution

The third proportional to 1,266.18 and 2,003.33 is: 3,169.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.18 : 2,003.33 = 2,003.33 : x
  2. Step 2: Convert to fraction form
    1,266.18/2,003.33 = 2,003.33/x
  3. Step 3: Cross multiply
    1,266.18x = 2,003.33 × 2,003.33
  4. Step 4: Simplify right side
    1,266.18x = 4,013,315.75
  5. Step 5: Solve for x
    x = 4,013,315.75/1,266.18
  6. Step 6: Final answer
    x = 3,169.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.