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Finding the Third Proportional to 27,760 and 38,232

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Solution

The third proportional to 27,760 and 38,232 is: 52,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,760 : 38,232 = 38,232 : x
  2. Step 2: Convert to fraction form
    27,760/38,232 = 38,232/x
  3. Step 3: Cross multiply
    27,760x = 38,232 × 38,232
  4. Step 4: Simplify right side
    27,760x = 1,461,685,824
  5. Step 5: Solve for x
    x = 1,461,685,824/27,760
  6. Step 6: Final answer
    x = 52,654.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.