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Finding the Third Proportional to 18,471.38 and 27,924.75

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Solution

The third proportional to 18,471.38 and 27,924.75 is: 42,216.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.38 : 27,924.75 = 27,924.75 : x
  2. Step 2: Convert to fraction form
    18,471.38/27,924.75 = 27,924.75/x
  3. Step 3: Cross multiply
    18,471.38x = 27,924.75 × 27,924.75
  4. Step 4: Simplify right side
    18,471.38x = 779,791,662.56
  5. Step 5: Solve for x
    x = 779,791,662.56/18,471.38
  6. Step 6: Final answer
    x = 42,216.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.