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Finding the Third Proportional to 23,827 and 52,330

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Solution

The third proportional to 23,827 and 52,330 is: 114,929.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827 : 52,330 = 52,330 : x
  2. Step 2: Convert to fraction form
    23,827/52,330 = 52,330/x
  3. Step 3: Cross multiply
    23,827x = 52,330 × 52,330
  4. Step 4: Simplify right side
    23,827x = 2,738,428,900
  5. Step 5: Solve for x
    x = 2,738,428,900/23,827
  6. Step 6: Final answer
    x = 114,929.66

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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.