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Finding the Third Proportional to 29,758 and 39,493

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Solution

The third proportional to 29,758 and 39,493 is: 52,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,758 : 39,493 = 39,493 : x
  2. Step 2: Convert to fraction form
    29,758/39,493 = 39,493/x
  3. Step 3: Cross multiply
    29,758x = 39,493 × 39,493
  4. Step 4: Simplify right side
    29,758x = 1,559,697,049
  5. Step 5: Solve for x
    x = 1,559,697,049/29,758
  6. Step 6: Final answer
    x = 52,412.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.