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Finding the Third Proportional to 2,971.13 and 4,179.38

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Solution

The third proportional to 2,971.13 and 4,179.38 is: 5,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.13 : 4,179.38 = 4,179.38 : x
  2. Step 2: Convert to fraction form
    2,971.13/4,179.38 = 4,179.38/x
  3. Step 3: Cross multiply
    2,971.13x = 4,179.38 × 4,179.38
  4. Step 4: Simplify right side
    2,971.13x = 17,467,175.39
  5. Step 5: Solve for x
    x = 17,467,175.39/2,971.13
  6. Step 6: Final answer
    x = 5,878.98

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.