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Finding the Third Proportional to 15,267 and 21,791.63

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Solution

The third proportional to 15,267 and 21,791.63 is: 31,104.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,267 : 21,791.63 = 21,791.63 : x
  2. Step 2: Convert to fraction form
    15,267/21,791.63 = 21,791.63/x
  3. Step 3: Cross multiply
    15,267x = 21,791.63 × 21,791.63
  4. Step 4: Simplify right side
    15,267x = 474,874,920.14
  5. Step 5: Solve for x
    x = 474,874,920.14/15,267
  6. Step 6: Final answer
    x = 31,104.66

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.