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Finding the Third Proportional to 15,972 and 22,338

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Solution

The third proportional to 15,972 and 22,338 is: 31,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,972 : 22,338 = 22,338 : x
  2. Step 2: Convert to fraction form
    15,972/22,338 = 22,338/x
  3. Step 3: Cross multiply
    15,972x = 22,338 × 22,338
  4. Step 4: Simplify right side
    15,972x = 498,986,244
  5. Step 5: Solve for x
    x = 498,986,244/15,972
  6. Step 6: Final answer
    x = 31,241.31

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.