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Finding the Third Proportional to 3,016.13 and 6,577.88

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Solution

The third proportional to 3,016.13 and 6,577.88 is: 14,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.13 : 6,577.88 = 6,577.88 : x
  2. Step 2: Convert to fraction form
    3,016.13/6,577.88 = 6,577.88/x
  3. Step 3: Cross multiply
    3,016.13x = 6,577.88 × 6,577.88
  4. Step 4: Simplify right side
    3,016.13x = 43,268,439.52
  5. Step 5: Solve for x
    x = 43,268,439.52/3,016.13
  6. Step 6: Final answer
    x = 14,345.71

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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.