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Finding the Third Proportional to 27,722 and 40,731

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Solution

The third proportional to 27,722 and 40,731 is: 59,844.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,722 : 40,731 = 40,731 : x
  2. Step 2: Convert to fraction form
    27,722/40,731 = 40,731/x
  3. Step 3: Cross multiply
    27,722x = 40,731 × 40,731
  4. Step 4: Simplify right side
    27,722x = 1,659,014,361
  5. Step 5: Solve for x
    x = 1,659,014,361/27,722
  6. Step 6: Final answer
    x = 59,844.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.