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Finding the Third Proportional to 3,232.69 and 7,232.06

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Solution

The third proportional to 3,232.69 and 7,232.06 is: 16,179.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,232.69 : 7,232.06 = 7,232.06 : x
  2. Step 2: Convert to fraction form
    3,232.69/7,232.06 = 7,232.06/x
  3. Step 3: Cross multiply
    3,232.69x = 7,232.06 × 7,232.06
  4. Step 4: Simplify right side
    3,232.69x = 52,302,728.00
  5. Step 5: Solve for x
    x = 52,302,728.00/3,232.69
  6. Step 6: Final answer
    x = 16,179.33

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.