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Finding the Third Proportional to 27,721 and 52,889

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Solution

The third proportional to 27,721 and 52,889 is: 100,907.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,721 : 52,889 = 52,889 : x
  2. Step 2: Convert to fraction form
    27,721/52,889 = 52,889/x
  3. Step 3: Cross multiply
    27,721x = 52,889 × 52,889
  4. Step 4: Simplify right side
    27,721x = 2,797,246,321
  5. Step 5: Solve for x
    x = 2,797,246,321/27,721
  6. Step 6: Final answer
    x = 100,907.12

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.