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Finding the Third Proportional to 18,458.72 and 27,706.22

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Solution

The third proportional to 18,458.72 and 27,706.22 is: 41,586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,458.72 : 27,706.22 = 27,706.22 : x
  2. Step 2: Convert to fraction form
    18,458.72/27,706.22 = 27,706.22/x
  3. Step 3: Cross multiply
    18,458.72x = 27,706.22 × 27,706.22
  4. Step 4: Simplify right side
    18,458.72x = 767,634,557.42
  5. Step 5: Solve for x
    x = 767,634,557.42/18,458.72
  6. Step 6: Final answer
    x = 41,586.56

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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.