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Finding the Third Proportional to 24,669 and 52,415

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Solution

The third proportional to 24,669 and 52,415 is: 111,367.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,669 : 52,415 = 52,415 : x
  2. Step 2: Convert to fraction form
    24,669/52,415 = 52,415/x
  3. Step 3: Cross multiply
    24,669x = 52,415 × 52,415
  4. Step 4: Simplify right side
    24,669x = 2,747,332,225
  5. Step 5: Solve for x
    x = 2,747,332,225/24,669
  6. Step 6: Final answer
    x = 111,367.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.