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Finding the Third Proportional to 38,244 and 58,467

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Solution

The third proportional to 38,244 and 58,467 is: 89,383.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,244 : 58,467 = 58,467 : x
  2. Step 2: Convert to fraction form
    38,244/58,467 = 58,467/x
  3. Step 3: Cross multiply
    38,244x = 58,467 × 58,467
  4. Step 4: Simplify right side
    38,244x = 3,418,390,089
  5. Step 5: Solve for x
    x = 3,418,390,089/38,244
  6. Step 6: Final answer
    x = 89,383.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.