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Finding the Third Proportional to 6,436.13 and 13,722.75

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Solution

The third proportional to 6,436.13 and 13,722.75 is: 29,258.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.13 : 13,722.75 = 13,722.75 : x
  2. Step 2: Convert to fraction form
    6,436.13/13,722.75 = 13,722.75/x
  3. Step 3: Cross multiply
    6,436.13x = 13,722.75 × 13,722.75
  4. Step 4: Simplify right side
    6,436.13x = 188,313,867.56
  5. Step 5: Solve for x
    x = 188,313,867.56/6,436.13
  6. Step 6: Final answer
    x = 29,258.89

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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.