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Finding the Third Proportional to 7,238 and 9,561

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Solution

The third proportional to 7,238 and 9,561 is: 12,629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238 : 9,561 = 9,561 : x
  2. Step 2: Convert to fraction form
    7,238/9,561 = 9,561/x
  3. Step 3: Cross multiply
    7,238x = 9,561 × 9,561
  4. Step 4: Simplify right side
    7,238x = 91,412,721
  5. Step 5: Solve for x
    x = 91,412,721/7,238
  6. Step 6: Final answer
    x = 12,629.56

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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.