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Finding the Third Proportional to 27,051 and 57,837

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Solution

The third proportional to 27,051 and 57,837 is: 123,659.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,051 : 57,837 = 57,837 : x
  2. Step 2: Convert to fraction form
    27,051/57,837 = 57,837/x
  3. Step 3: Cross multiply
    27,051x = 57,837 × 57,837
  4. Step 4: Simplify right side
    27,051x = 3,345,118,569
  5. Step 5: Solve for x
    x = 3,345,118,569/27,051
  6. Step 6: Final answer
    x = 123,659.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.