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Finding the Third Proportional to 2,017.69 and 3,170.53

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Solution

The third proportional to 2,017.69 and 3,170.53 is: 4,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.69 : 3,170.53 = 3,170.53 : x
  2. Step 2: Convert to fraction form
    2,017.69/3,170.53 = 3,170.53/x
  3. Step 3: Cross multiply
    2,017.69x = 3,170.53 × 3,170.53
  4. Step 4: Simplify right side
    2,017.69x = 10,052,268.41
  5. Step 5: Solve for x
    x = 10,052,268.41/2,017.69
  6. Step 6: Final answer
    x = 4,982.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.