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Finding the Third Proportional to 38,922 and 55,467

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Solution

The third proportional to 38,922 and 55,467 is: 79,044.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,922 : 55,467 = 55,467 : x
  2. Step 2: Convert to fraction form
    38,922/55,467 = 55,467/x
  3. Step 3: Cross multiply
    38,922x = 55,467 × 55,467
  4. Step 4: Simplify right side
    38,922x = 3,076,588,089
  5. Step 5: Solve for x
    x = 3,076,588,089/38,922
  6. Step 6: Final answer
    x = 79,044.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.