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Finding the Third Proportional to 24,520 and 52,832

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Solution

The third proportional to 24,520 and 52,832 is: 113,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,520 : 52,832 = 52,832 : x
  2. Step 2: Convert to fraction form
    24,520/52,832 = 52,832/x
  3. Step 3: Cross multiply
    24,520x = 52,832 × 52,832
  4. Step 4: Simplify right side
    24,520x = 2,791,220,224
  5. Step 5: Solve for x
    x = 2,791,220,224/24,520
  6. Step 6: Final answer
    x = 113,834.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.