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Finding the Third Proportional to 3,170.81 and 6,564.38

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Solution

The third proportional to 3,170.81 and 6,564.38 is: 13,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,170.81 : 6,564.38 = 6,564.38 : x
  2. Step 2: Convert to fraction form
    3,170.81/6,564.38 = 6,564.38/x
  3. Step 3: Cross multiply
    3,170.81x = 6,564.38 × 6,564.38
  4. Step 4: Simplify right side
    3,170.81x = 43,091,019.14
  5. Step 5: Solve for x
    x = 43,091,019.14/3,170.81
  6. Step 6: Final answer
    x = 13,589.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.