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Finding the Third Proportional to 15,383 and 24,099

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Solution

The third proportional to 15,383 and 24,099 is: 37,753.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,383 : 24,099 = 24,099 : x
  2. Step 2: Convert to fraction form
    15,383/24,099 = 24,099/x
  3. Step 3: Cross multiply
    15,383x = 24,099 × 24,099
  4. Step 4: Simplify right side
    15,383x = 580,761,801
  5. Step 5: Solve for x
    x = 580,761,801/15,383
  6. Step 6: Final answer
    x = 37,753.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.