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Finding the Third Proportional to 26,024 and 61,372

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Solution

The third proportional to 26,024 and 61,372 is: 144,732.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,024 : 61,372 = 61,372 : x
  2. Step 2: Convert to fraction form
    26,024/61,372 = 61,372/x
  3. Step 3: Cross multiply
    26,024x = 61,372 × 61,372
  4. Step 4: Simplify right side
    26,024x = 3,766,522,384
  5. Step 5: Solve for x
    x = 3,766,522,384/26,024
  6. Step 6: Final answer
    x = 144,732.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.