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Finding the Third Proportional to 1,328.06 and 3,115.55

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Solution

The third proportional to 1,328.06 and 3,115.55 is: 7,308.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,328.06 : 3,115.55 = 3,115.55 : x
  2. Step 2: Convert to fraction form
    1,328.06/3,115.55 = 3,115.55/x
  3. Step 3: Cross multiply
    1,328.06x = 3,115.55 × 3,115.55
  4. Step 4: Simplify right side
    1,328.06x = 9,706,632.33
  5. Step 5: Solve for x
    x = 9,706,632.33/1,328.06
  6. Step 6: Final answer
    x = 7,308.87

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.