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Finding the Third Proportional to 24,871 and 32,311

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Solution

The third proportional to 24,871 and 32,311 is: 41,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,871 : 32,311 = 32,311 : x
  2. Step 2: Convert to fraction form
    24,871/32,311 = 32,311/x
  3. Step 3: Cross multiply
    24,871x = 32,311 × 32,311
  4. Step 4: Simplify right side
    24,871x = 1,044,000,721
  5. Step 5: Solve for x
    x = 1,044,000,721/24,871
  6. Step 6: Final answer
    x = 41,976.63

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.