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Finding the Third Proportional to 23,762 and 52,232

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Solution

The third proportional to 23,762 and 52,232 is: 114,812.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,762 : 52,232 = 52,232 : x
  2. Step 2: Convert to fraction form
    23,762/52,232 = 52,232/x
  3. Step 3: Cross multiply
    23,762x = 52,232 × 52,232
  4. Step 4: Simplify right side
    23,762x = 2,728,181,824
  5. Step 5: Solve for x
    x = 2,728,181,824/23,762
  6. Step 6: Final answer
    x = 114,812.80

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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.