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Finding the Third Proportional to 2,040.84 and 3,258.66

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Solution

The third proportional to 2,040.84 and 3,258.66 is: 5,203.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040.84 : 3,258.66 = 3,258.66 : x
  2. Step 2: Convert to fraction form
    2,040.84/3,258.66 = 3,258.66/x
  3. Step 3: Cross multiply
    2,040.84x = 3,258.66 × 3,258.66
  4. Step 4: Simplify right side
    2,040.84x = 10,618,840.56
  5. Step 5: Solve for x
    x = 10,618,840.56/2,040.84
  6. Step 6: Final answer
    x = 5,203.16

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.