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Finding the Third Proportional to 3,548.81 and 7,808.91

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Solution

The third proportional to 3,548.81 and 7,808.91 is: 17,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.81 : 7,808.91 = 7,808.91 : x
  2. Step 2: Convert to fraction form
    3,548.81/7,808.91 = 7,808.91/x
  3. Step 3: Cross multiply
    3,548.81x = 7,808.91 × 7,808.91
  4. Step 4: Simplify right side
    3,548.81x = 60,979,016.82
  5. Step 5: Solve for x
    x = 60,979,016.82/3,548.81
  6. Step 6: Final answer
    x = 17,182.94

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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.