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Finding the Third Proportional to 10,561 and 11,533

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Solution

The third proportional to 10,561 and 11,533 is: 12,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561 : 11,533 = 11,533 : x
  2. Step 2: Convert to fraction form
    10,561/11,533 = 11,533/x
  3. Step 3: Cross multiply
    10,561x = 11,533 × 11,533
  4. Step 4: Simplify right side
    10,561x = 133,010,089
  5. Step 5: Solve for x
    x = 133,010,089/10,561
  6. Step 6: Final answer
    x = 12,594.46

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.