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Finding the Third Proportional to 25,224 and 52,520

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Solution

The third proportional to 25,224 and 52,520 is: 109,354.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,224 : 52,520 = 52,520 : x
  2. Step 2: Convert to fraction form
    25,224/52,520 = 52,520/x
  3. Step 3: Cross multiply
    25,224x = 52,520 × 52,520
  4. Step 4: Simplify right side
    25,224x = 2,758,350,400
  5. Step 5: Solve for x
    x = 2,758,350,400/25,224
  6. Step 6: Final answer
    x = 109,354.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.