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Finding the Third Proportional to 27,232 and 57,212

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Solution

The third proportional to 27,232 and 57,212 is: 120,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,232 : 57,212 = 57,212 : x
  2. Step 2: Convert to fraction form
    27,232/57,212 = 57,212/x
  3. Step 3: Cross multiply
    27,232x = 57,212 × 57,212
  4. Step 4: Simplify right side
    27,232x = 3,273,212,944
  5. Step 5: Solve for x
    x = 3,273,212,944/27,232
  6. Step 6: Final answer
    x = 120,197.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.