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Finding the Third Proportional to 26,914 and 65,125

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Solution

The third proportional to 26,914 and 65,125 is: 157,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,914 : 65,125 = 65,125 : x
  2. Step 2: Convert to fraction form
    26,914/65,125 = 65,125/x
  3. Step 3: Cross multiply
    26,914x = 65,125 × 65,125
  4. Step 4: Simplify right side
    26,914x = 4,241,265,625
  5. Step 5: Solve for x
    x = 4,241,265,625/26,914
  6. Step 6: Final answer
    x = 157,585.85

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.