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Finding the Third Proportional to 6,558.89 and 13,993.17

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Solution

The third proportional to 6,558.89 and 13,993.17 is: 29,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,558.89 : 13,993.17 = 13,993.17 : x
  2. Step 2: Convert to fraction form
    6,558.89/13,993.17 = 13,993.17/x
  3. Step 3: Cross multiply
    6,558.89x = 13,993.17 × 13,993.17
  4. Step 4: Simplify right side
    6,558.89x = 195,808,859.12
  5. Step 5: Solve for x
    x = 195,808,859.12/6,558.89
  6. Step 6: Final answer
    x = 29,853.96

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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.