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Finding the Third Proportional to 9,900 and 13,086

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Solution

The third proportional to 9,900 and 13,086 is: 17,297.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900 : 13,086 = 13,086 : x
  2. Step 2: Convert to fraction form
    9,900/13,086 = 13,086/x
  3. Step 3: Cross multiply
    9,900x = 13,086 × 13,086
  4. Step 4: Simplify right side
    9,900x = 171,243,396
  5. Step 5: Solve for x
    x = 171,243,396/9,900
  6. Step 6: Final answer
    x = 17,297.31

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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.