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Finding the Third Proportional to 4,198.50 and 6,971.06

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Solution

The third proportional to 4,198.50 and 6,971.06 is: 11,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.50 : 6,971.06 = 6,971.06 : x
  2. Step 2: Convert to fraction form
    4,198.50/6,971.06 = 6,971.06/x
  3. Step 3: Cross multiply
    4,198.50x = 6,971.06 × 6,971.06
  4. Step 4: Simplify right side
    4,198.50x = 48,595,712.38
  5. Step 5: Solve for x
    x = 48,595,712.38/4,198.50
  6. Step 6: Final answer
    x = 11,574.54

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.