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Finding the Third Proportional to 7,832.25 and 11,316.38

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Solution

The third proportional to 7,832.25 and 11,316.38 is: 16,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.25 : 11,316.38 = 11,316.38 : x
  2. Step 2: Convert to fraction form
    7,832.25/11,316.38 = 11,316.38/x
  3. Step 3: Cross multiply
    7,832.25x = 11,316.38 × 11,316.38
  4. Step 4: Simplify right side
    7,832.25x = 128,060,343.14
  5. Step 5: Solve for x
    x = 128,060,343.14/7,832.25
  6. Step 6: Final answer
    x = 16,350.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.