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Finding the Third Proportional to 8,051 and 9,167

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Solution

The third proportional to 8,051 and 9,167 is: 10,437.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051 : 9,167 = 9,167 : x
  2. Step 2: Convert to fraction form
    8,051/9,167 = 9,167/x
  3. Step 3: Cross multiply
    8,051x = 9,167 × 9,167
  4. Step 4: Simplify right side
    8,051x = 84,033,889
  5. Step 5: Solve for x
    x = 84,033,889/8,051
  6. Step 6: Final answer
    x = 10,437.70

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.