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Finding the Third Proportional to 6,701.96 and 14,293.81

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Solution

The third proportional to 6,701.96 and 14,293.81 is: 30,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,701.96 : 14,293.81 = 14,293.81 : x
  2. Step 2: Convert to fraction form
    6,701.96/14,293.81 = 14,293.81/x
  3. Step 3: Cross multiply
    6,701.96x = 14,293.81 × 14,293.81
  4. Step 4: Simplify right side
    6,701.96x = 204,313,019.95
  5. Step 5: Solve for x
    x = 204,313,019.95/6,701.96
  6. Step 6: Final answer
    x = 30,485.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.