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Finding the Third Proportional to 7,176.09 and 10,832.48

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Solution

The third proportional to 7,176.09 and 10,832.48 is: 16,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176.09 : 10,832.48 = 10,832.48 : x
  2. Step 2: Convert to fraction form
    7,176.09/10,832.48 = 10,832.48/x
  3. Step 3: Cross multiply
    7,176.09x = 10,832.48 × 10,832.48
  4. Step 4: Simplify right side
    7,176.09x = 117,342,717.73
  5. Step 5: Solve for x
    x = 117,342,717.73/7,176.09
  6. Step 6: Final answer
    x = 16,351.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.