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Finding the Third Proportional to 15,928 and 22,278

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Solution

The third proportional to 15,928 and 22,278 is: 31,159.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,928 : 22,278 = 22,278 : x
  2. Step 2: Convert to fraction form
    15,928/22,278 = 22,278/x
  3. Step 3: Cross multiply
    15,928x = 22,278 × 22,278
  4. Step 4: Simplify right side
    15,928x = 496,309,284
  5. Step 5: Solve for x
    x = 496,309,284/15,928
  6. Step 6: Final answer
    x = 31,159.55

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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.