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Finding the Third Proportional to 6,464.81 and 13,694.06

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Solution

The third proportional to 6,464.81 and 13,694.06 is: 29,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,464.81 : 13,694.06 = 13,694.06 : x
  2. Step 2: Convert to fraction form
    6,464.81/13,694.06 = 13,694.06/x
  3. Step 3: Cross multiply
    6,464.81x = 13,694.06 × 13,694.06
  4. Step 4: Simplify right side
    6,464.81x = 187,527,347.75
  5. Step 5: Solve for x
    x = 187,527,347.75/6,464.81
  6. Step 6: Final answer
    x = 29,007.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.