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Finding the Third Proportional to 27,722 and 52,890

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Solution

The third proportional to 27,722 and 52,890 is: 100,907.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722 : 52,890 = 52,890 : x
  2. Step 2: Convert to fraction form
    27,722/52,890 = 52,890/x
  3. Step 3: Cross multiply
    27,722x = 52,890 × 52,890
  4. Step 4: Simplify right side
    27,722x = 2,797,352,100
  5. Step 5: Solve for x
    x = 2,797,352,100/27,722
  6. Step 6: Final answer
    x = 100,907.30

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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.