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Finding the Third Proportional to 24,311 and 35,599

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Solution

The third proportional to 24,311 and 35,599 is: 52,128.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311 : 35,599 = 35,599 : x
  2. Step 2: Convert to fraction form
    24,311/35,599 = 35,599/x
  3. Step 3: Cross multiply
    24,311x = 35,599 × 35,599
  4. Step 4: Simplify right side
    24,311x = 1,267,288,801
  5. Step 5: Solve for x
    x = 1,267,288,801/24,311
  6. Step 6: Final answer
    x = 52,128.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.