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Finding the Third Proportional to 8,567 and 9,827

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Solution

The third proportional to 8,567 and 9,827 is: 11,272.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567 : 9,827 = 9,827 : x
  2. Step 2: Convert to fraction form
    8,567/9,827 = 9,827/x
  3. Step 3: Cross multiply
    8,567x = 9,827 × 9,827
  4. Step 4: Simplify right side
    8,567x = 96,569,929
  5. Step 5: Solve for x
    x = 96,569,929/8,567
  6. Step 6: Final answer
    x = 11,272.32

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.