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Finding the Third Proportional to 23,821 and 52,312

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Solution

The third proportional to 23,821 and 52,312 is: 114,879.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,821 : 52,312 = 52,312 : x
  2. Step 2: Convert to fraction form
    23,821/52,312 = 52,312/x
  3. Step 3: Cross multiply
    23,821x = 52,312 × 52,312
  4. Step 4: Simplify right side
    23,821x = 2,736,545,344
  5. Step 5: Solve for x
    x = 2,736,545,344/23,821
  6. Step 6: Final answer
    x = 114,879.53

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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.