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Finding the Third Proportional to 26,852 and 60,667

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Solution

The third proportional to 26,852 and 60,667 is: 137,065.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,852 : 60,667 = 60,667 : x
  2. Step 2: Convert to fraction form
    26,852/60,667 = 60,667/x
  3. Step 3: Cross multiply
    26,852x = 60,667 × 60,667
  4. Step 4: Simplify right side
    26,852x = 3,680,484,889
  5. Step 5: Solve for x
    x = 3,680,484,889/26,852
  6. Step 6: Final answer
    x = 137,065.58

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.