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Finding the Third Proportional to 9,828 and 10,788

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Solution

The third proportional to 9,828 and 10,788 is: 11,841.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,828 : 10,788 = 10,788 : x
  2. Step 2: Convert to fraction form
    9,828/10,788 = 10,788/x
  3. Step 3: Cross multiply
    9,828x = 10,788 × 10,788
  4. Step 4: Simplify right side
    9,828x = 116,380,944
  5. Step 5: Solve for x
    x = 116,380,944/9,828
  6. Step 6: Final answer
    x = 11,841.77

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.