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Finding the Third Proportional to 12,297 and 18,393

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Solution

The third proportional to 12,297 and 18,393 is: 27,510.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297 : 18,393 = 18,393 : x
  2. Step 2: Convert to fraction form
    12,297/18,393 = 18,393/x
  3. Step 3: Cross multiply
    12,297x = 18,393 × 18,393
  4. Step 4: Simplify right side
    12,297x = 338,302,449
  5. Step 5: Solve for x
    x = 338,302,449/12,297
  6. Step 6: Final answer
    x = 27,510.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.