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Finding the Third Proportional to 3,251.63 and 7,016.63

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Solution

The third proportional to 3,251.63 and 7,016.63 is: 15,141.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251.63 : 7,016.63 = 7,016.63 : x
  2. Step 2: Convert to fraction form
    3,251.63/7,016.63 = 7,016.63/x
  3. Step 3: Cross multiply
    3,251.63x = 7,016.63 × 7,016.63
  4. Step 4: Simplify right side
    3,251.63x = 49,233,026.39
  5. Step 5: Solve for x
    x = 49,233,026.39/3,251.63
  6. Step 6: Final answer
    x = 15,141.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.