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Finding the Third Proportional to 6,346.69 and 13,924.13

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Solution

The third proportional to 6,346.69 and 13,924.13 is: 30,548.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.69 : 13,924.13 = 13,924.13 : x
  2. Step 2: Convert to fraction form
    6,346.69/13,924.13 = 13,924.13/x
  3. Step 3: Cross multiply
    6,346.69x = 13,924.13 × 13,924.13
  4. Step 4: Simplify right side
    6,346.69x = 193,881,257.02
  5. Step 5: Solve for x
    x = 193,881,257.02/6,346.69
  6. Step 6: Final answer
    x = 30,548.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.