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Finding the Third Proportional to 6,635.67 and 14,309.16

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Solution

The third proportional to 6,635.67 and 14,309.16 is: 30,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.67 : 14,309.16 = 14,309.16 : x
  2. Step 2: Convert to fraction form
    6,635.67/14,309.16 = 14,309.16/x
  3. Step 3: Cross multiply
    6,635.67x = 14,309.16 × 14,309.16
  4. Step 4: Simplify right side
    6,635.67x = 204,751,952.59
  5. Step 5: Solve for x
    x = 204,751,952.59/6,635.67
  6. Step 6: Final answer
    x = 30,856.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.