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Finding the Third Proportional to 26,963 and 57,829

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Solution

The third proportional to 26,963 and 57,829 is: 124,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,963 : 57,829 = 57,829 : x
  2. Step 2: Convert to fraction form
    26,963/57,829 = 57,829/x
  3. Step 3: Cross multiply
    26,963x = 57,829 × 57,829
  4. Step 4: Simplify right side
    26,963x = 3,344,193,241
  5. Step 5: Solve for x
    x = 3,344,193,241/26,963
  6. Step 6: Final answer
    x = 124,028.97

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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.