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Finding the Third Proportional to 24,697 and 52,492

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Solution

The third proportional to 24,697 and 52,492 is: 111,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,697 : 52,492 = 52,492 : x
  2. Step 2: Convert to fraction form
    24,697/52,492 = 52,492/x
  3. Step 3: Cross multiply
    24,697x = 52,492 × 52,492
  4. Step 4: Simplify right side
    24,697x = 2,755,410,064
  5. Step 5: Solve for x
    x = 2,755,410,064/24,697
  6. Step 6: Final answer
    x = 111,568.61

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.