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Finding the Third Proportional to 2,765.34 and 6,016.69

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Solution

The third proportional to 2,765.34 and 6,016.69 is: 13,090.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,765.34 : 6,016.69 = 6,016.69 : x
  2. Step 2: Convert to fraction form
    2,765.34/6,016.69 = 6,016.69/x
  3. Step 3: Cross multiply
    2,765.34x = 6,016.69 × 6,016.69
  4. Step 4: Simplify right side
    2,765.34x = 36,200,528.47
  5. Step 5: Solve for x
    x = 36,200,528.47/2,765.34
  6. Step 6: Final answer
    x = 13,090.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.