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Finding the Third Proportional to 27,272 and 57,460

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Solution

The third proportional to 27,272 and 57,460 is: 121,063.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,272 : 57,460 = 57,460 : x
  2. Step 2: Convert to fraction form
    27,272/57,460 = 57,460/x
  3. Step 3: Cross multiply
    27,272x = 57,460 × 57,460
  4. Step 4: Simplify right side
    27,272x = 3,301,651,600
  5. Step 5: Solve for x
    x = 3,301,651,600/27,272
  6. Step 6: Final answer
    x = 121,063.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.