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Finding the Third Proportional to 23,429 and 48,802

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Solution

The third proportional to 23,429 and 48,802 is: 101,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,429 : 48,802 = 48,802 : x
  2. Step 2: Convert to fraction form
    23,429/48,802 = 48,802/x
  3. Step 3: Cross multiply
    23,429x = 48,802 × 48,802
  4. Step 4: Simplify right side
    23,429x = 2,381,635,204
  5. Step 5: Solve for x
    x = 2,381,635,204/23,429
  6. Step 6: Final answer
    x = 101,653.30

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.