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Finding the Third Proportional to 2,014.13 and 3,033.56

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Solution

The third proportional to 2,014.13 and 3,033.56 is: 4,568.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.13 : 3,033.56 = 3,033.56 : x
  2. Step 2: Convert to fraction form
    2,014.13/3,033.56 = 3,033.56/x
  3. Step 3: Cross multiply
    2,014.13x = 3,033.56 × 3,033.56
  4. Step 4: Simplify right side
    2,014.13x = 9,202,501.44
  5. Step 5: Solve for x
    x = 9,202,501.44/2,014.13
  6. Step 6: Final answer
    x = 4,568.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.