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Finding the Third Proportional to 23,757 and 52,224

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Solution

The third proportional to 23,757 and 52,224 is: 114,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,757 : 52,224 = 52,224 : x
  2. Step 2: Convert to fraction form
    23,757/52,224 = 52,224/x
  3. Step 3: Cross multiply
    23,757x = 52,224 × 52,224
  4. Step 4: Simplify right side
    23,757x = 2,727,346,176
  5. Step 5: Solve for x
    x = 2,727,346,176/23,757
  6. Step 6: Final answer
    x = 114,801.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.