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Finding the Third Proportional to 6,006.75 and 13,964.25

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Solution

The third proportional to 6,006.75 and 13,964.25 is: 32,463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.75 : 13,964.25 = 13,964.25 : x
  2. Step 2: Convert to fraction form
    6,006.75/13,964.25 = 13,964.25/x
  3. Step 3: Cross multiply
    6,006.75x = 13,964.25 × 13,964.25
  4. Step 4: Simplify right side
    6,006.75x = 195,000,278.06
  5. Step 5: Solve for x
    x = 195,000,278.06/6,006.75
  6. Step 6: Final answer
    x = 32,463.52

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.