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Finding the Third Proportional to 17,856 and 26,667

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Solution

The third proportional to 17,856 and 26,667 is: 39,825.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,856 : 26,667 = 26,667 : x
  2. Step 2: Convert to fraction form
    17,856/26,667 = 26,667/x
  3. Step 3: Cross multiply
    17,856x = 26,667 × 26,667
  4. Step 4: Simplify right side
    17,856x = 711,128,889
  5. Step 5: Solve for x
    x = 711,128,889/17,856
  6. Step 6: Final answer
    x = 39,825.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.