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Finding the Third Proportional to 23,406 and 35,073

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Solution

The third proportional to 23,406 and 35,073 is: 52,555.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,406 : 35,073 = 35,073 : x
  2. Step 2: Convert to fraction form
    23,406/35,073 = 35,073/x
  3. Step 3: Cross multiply
    23,406x = 35,073 × 35,073
  4. Step 4: Simplify right side
    23,406x = 1,230,115,329
  5. Step 5: Solve for x
    x = 1,230,115,329/23,406
  6. Step 6: Final answer
    x = 52,555.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.