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Finding the Third Proportional to 6,964.73 and 16,253.16

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Solution

The third proportional to 6,964.73 and 16,253.16 is: 37,928.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,964.73 : 16,253.16 = 16,253.16 : x
  2. Step 2: Convert to fraction form
    6,964.73/16,253.16 = 16,253.16/x
  3. Step 3: Cross multiply
    6,964.73x = 16,253.16 × 16,253.16
  4. Step 4: Simplify right side
    6,964.73x = 264,165,088.09
  5. Step 5: Solve for x
    x = 264,165,088.09/6,964.73
  6. Step 6: Final answer
    x = 37,928.95

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.