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Finding the Third Proportional to 15,722 and 22,975

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Solution

The third proportional to 15,722 and 22,975 is: 33,574.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722 : 22,975 = 22,975 : x
  2. Step 2: Convert to fraction form
    15,722/22,975 = 22,975/x
  3. Step 3: Cross multiply
    15,722x = 22,975 × 22,975
  4. Step 4: Simplify right side
    15,722x = 527,850,625
  5. Step 5: Solve for x
    x = 527,850,625/15,722
  6. Step 6: Final answer
    x = 33,574.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.