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Finding the Third Proportional to 17,648 and 26,372

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Solution

The third proportional to 17,648 and 26,372 is: 39,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,648 : 26,372 = 26,372 : x
  2. Step 2: Convert to fraction form
    17,648/26,372 = 26,372/x
  3. Step 3: Cross multiply
    17,648x = 26,372 × 26,372
  4. Step 4: Simplify right side
    17,648x = 695,482,384
  5. Step 5: Solve for x
    x = 695,482,384/17,648
  6. Step 6: Final answer
    x = 39,408.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.