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Finding the Third Proportional to 9,774 and 11,826

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Solution

The third proportional to 9,774 and 11,826 is: 14,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774 : 11,826 = 11,826 : x
  2. Step 2: Convert to fraction form
    9,774/11,826 = 11,826/x
  3. Step 3: Cross multiply
    9,774x = 11,826 × 11,826
  4. Step 4: Simplify right side
    9,774x = 139,854,276
  5. Step 5: Solve for x
    x = 139,854,276/9,774
  6. Step 6: Final answer
    x = 14,308.81

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.