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Finding the Third Proportional to 3,001.22 and 4,196.81

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Solution

The third proportional to 3,001.22 and 4,196.81 is: 5,868.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,001.22 : 4,196.81 = 4,196.81 : x
  2. Step 2: Convert to fraction form
    3,001.22/4,196.81 = 4,196.81/x
  3. Step 3: Cross multiply
    3,001.22x = 4,196.81 × 4,196.81
  4. Step 4: Simplify right side
    3,001.22x = 17,613,235.16
  5. Step 5: Solve for x
    x = 17,613,235.16/3,001.22
  6. Step 6: Final answer
    x = 5,868.69

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.