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Finding the Third Proportional to 26,921 and 57,523

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Solution

The third proportional to 26,921 and 57,523 is: 122,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,921 : 57,523 = 57,523 : x
  2. Step 2: Convert to fraction form
    26,921/57,523 = 57,523/x
  3. Step 3: Cross multiply
    26,921x = 57,523 × 57,523
  4. Step 4: Simplify right side
    26,921x = 3,308,895,529
  5. Step 5: Solve for x
    x = 3,308,895,529/26,921
  6. Step 6: Final answer
    x = 122,911.32

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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.