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Finding the Third Proportional to 4,971.38 and 6,819.19

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Solution

The third proportional to 4,971.38 and 6,819.19 is: 9,353.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.38 : 6,819.19 = 6,819.19 : x
  2. Step 2: Convert to fraction form
    4,971.38/6,819.19 = 6,819.19/x
  3. Step 3: Cross multiply
    4,971.38x = 6,819.19 × 6,819.19
  4. Step 4: Simplify right side
    4,971.38x = 46,501,318.16
  5. Step 5: Solve for x
    x = 46,501,318.16/4,971.38
  6. Step 6: Final answer
    x = 9,353.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.