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Finding the Third Proportional to 6,072.75 and 7,995.38

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Solution

The third proportional to 6,072.75 and 7,995.38 is: 10,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,072.75 : 7,995.38 = 7,995.38 : x
  2. Step 2: Convert to fraction form
    6,072.75/7,995.38 = 7,995.38/x
  3. Step 3: Cross multiply
    6,072.75x = 7,995.38 × 7,995.38
  4. Step 4: Simplify right side
    6,072.75x = 63,926,021.39
  5. Step 5: Solve for x
    x = 63,926,021.39/6,072.75
  6. Step 6: Final answer
    x = 10,526.70

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.