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Finding the Third Proportional to 26,372 and 35,229

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Solution

The third proportional to 26,372 and 35,229 is: 47,060.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,372 : 35,229 = 35,229 : x
  2. Step 2: Convert to fraction form
    26,372/35,229 = 35,229/x
  3. Step 3: Cross multiply
    26,372x = 35,229 × 35,229
  4. Step 4: Simplify right side
    26,372x = 1,241,082,441
  5. Step 5: Solve for x
    x = 1,241,082,441/26,372
  6. Step 6: Final answer
    x = 47,060.61

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.