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Finding the Third Proportional to 10,822 and 11,758

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Solution

The third proportional to 10,822 and 11,758 is: 12,774.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,822 : 11,758 = 11,758 : x
  2. Step 2: Convert to fraction form
    10,822/11,758 = 11,758/x
  3. Step 3: Cross multiply
    10,822x = 11,758 × 11,758
  4. Step 4: Simplify right side
    10,822x = 138,250,564
  5. Step 5: Solve for x
    x = 138,250,564/10,822
  6. Step 6: Final answer
    x = 12,774.96

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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.