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Finding the Third Proportional to 9,856 and 12,976

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Solution

The third proportional to 9,856 and 12,976 is: 17,083.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856 : 12,976 = 12,976 : x
  2. Step 2: Convert to fraction form
    9,856/12,976 = 12,976/x
  3. Step 3: Cross multiply
    9,856x = 12,976 × 12,976
  4. Step 4: Simplify right side
    9,856x = 168,376,576
  5. Step 5: Solve for x
    x = 168,376,576/9,856
  6. Step 6: Final answer
    x = 17,083.66

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.