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Finding the Third Proportional to 6,882.75 and 15,135.75

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Solution

The third proportional to 6,882.75 and 15,135.75 is: 33,284.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.75 : 15,135.75 = 15,135.75 : x
  2. Step 2: Convert to fraction form
    6,882.75/15,135.75 = 15,135.75/x
  3. Step 3: Cross multiply
    6,882.75x = 15,135.75 × 15,135.75
  4. Step 4: Simplify right side
    6,882.75x = 229,090,928.06
  5. Step 5: Solve for x
    x = 229,090,928.06/6,882.75
  6. Step 6: Final answer
    x = 33,284.80

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.