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Finding the Third Proportional to 2,101.81 and 3,297.47

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Solution

The third proportional to 2,101.81 and 3,297.47 is: 5,173.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.81 : 3,297.47 = 3,297.47 : x
  2. Step 2: Convert to fraction form
    2,101.81/3,297.47 = 3,297.47/x
  3. Step 3: Cross multiply
    2,101.81x = 3,297.47 × 3,297.47
  4. Step 4: Simplify right side
    2,101.81x = 10,873,290.50
  5. Step 5: Solve for x
    x = 10,873,290.50/2,101.81
  6. Step 6: Final answer
    x = 5,173.30

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