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Finding the Third Proportional to 26,834 and 57,988

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Solution

The third proportional to 26,834 and 57,988 is: 125,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,834 : 57,988 = 57,988 : x
  2. Step 2: Convert to fraction form
    26,834/57,988 = 57,988/x
  3. Step 3: Cross multiply
    26,834x = 57,988 × 57,988
  4. Step 4: Simplify right side
    26,834x = 3,362,608,144
  5. Step 5: Solve for x
    x = 3,362,608,144/26,834
  6. Step 6: Final answer
    x = 125,311.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.