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Finding the Third Proportional to 7,229 and 10,561

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Solution

The third proportional to 7,229 and 10,561 is: 15,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,229 : 10,561 = 10,561 : x
  2. Step 2: Convert to fraction form
    7,229/10,561 = 10,561/x
  3. Step 3: Cross multiply
    7,229x = 10,561 × 10,561
  4. Step 4: Simplify right side
    7,229x = 111,534,721
  5. Step 5: Solve for x
    x = 111,534,721/7,229
  6. Step 6: Final answer
    x = 15,428.79

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.