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Finding the Third Proportional to 18,794.53 and 31,927.92

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Solution

The third proportional to 18,794.53 and 31,927.92 is: 54,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,794.53 : 31,927.92 = 31,927.92 : x
  2. Step 2: Convert to fraction form
    18,794.53/31,927.92 = 31,927.92/x
  3. Step 3: Cross multiply
    18,794.53x = 31,927.92 × 31,927.92
  4. Step 4: Simplify right side
    18,794.53x = 1,019,392,195.26
  5. Step 5: Solve for x
    x = 1,019,392,195.26/18,794.53
  6. Step 6: Final answer
    x = 54,238.77

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.