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Finding the Third Proportional to 27,897 and 61,322

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Solution

The third proportional to 27,897 and 61,322 is: 134,795.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897 : 61,322 = 61,322 : x
  2. Step 2: Convert to fraction form
    27,897/61,322 = 61,322/x
  3. Step 3: Cross multiply
    27,897x = 61,322 × 61,322
  4. Step 4: Simplify right side
    27,897x = 3,760,387,684
  5. Step 5: Solve for x
    x = 3,760,387,684/27,897
  6. Step 6: Final answer
    x = 134,795.41

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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.