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Finding the Third Proportional to 18,924.38 and 27,156.38

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Solution

The third proportional to 18,924.38 and 27,156.38 is: 38,969.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,924.38 : 27,156.38 = 27,156.38 : x
  2. Step 2: Convert to fraction form
    18,924.38/27,156.38 = 27,156.38/x
  3. Step 3: Cross multiply
    18,924.38x = 27,156.38 × 27,156.38
  4. Step 4: Simplify right side
    18,924.38x = 737,468,703.14
  5. Step 5: Solve for x
    x = 737,468,703.14/18,924.38
  6. Step 6: Final answer
    x = 38,969.25

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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.