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Finding the Third Proportional to 6,039.14 and 12,971.39

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Solution

The third proportional to 6,039.14 and 12,971.39 is: 27,861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,039.14 : 12,971.39 = 12,971.39 : x
  2. Step 2: Convert to fraction form
    6,039.14/12,971.39 = 12,971.39/x
  3. Step 3: Cross multiply
    6,039.14x = 12,971.39 × 12,971.39
  4. Step 4: Simplify right side
    6,039.14x = 168,256,974.75
  5. Step 5: Solve for x
    x = 168,256,974.75/6,039.14
  6. Step 6: Final answer
    x = 27,861.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.