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Finding the Third Proportional to 2,281.31 and 3,968.81

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Solution

The third proportional to 2,281.31 and 3,968.81 is: 6,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,281.31 : 3,968.81 = 3,968.81 : x
  2. Step 2: Convert to fraction form
    2,281.31/3,968.81 = 3,968.81/x
  3. Step 3: Cross multiply
    2,281.31x = 3,968.81 × 3,968.81
  4. Step 4: Simplify right side
    2,281.31x = 15,751,472.66
  5. Step 5: Solve for x
    x = 15,751,472.66/2,281.31
  6. Step 6: Final answer
    x = 6,904.57

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These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.