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Finding the Third Proportional to 2,036.81 and 2,327.91

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Solution

The third proportional to 2,036.81 and 2,327.91 is: 2,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.81 : 2,327.91 = 2,327.91 : x
  2. Step 2: Convert to fraction form
    2,036.81/2,327.91 = 2,327.91/x
  3. Step 3: Cross multiply
    2,036.81x = 2,327.91 × 2,327.91
  4. Step 4: Simplify right side
    2,036.81x = 5,419,147.51
  5. Step 5: Solve for x
    x = 5,419,147.51/2,036.81
  6. Step 6: Final answer
    x = 2,660.60

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.