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Finding the Third Proportional to 12,472.88 and 18,709.31

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Solution

The third proportional to 12,472.88 and 18,709.31 is: 28,063.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,472.88 : 18,709.31 = 18,709.31 : x
  2. Step 2: Convert to fraction form
    12,472.88/18,709.31 = 18,709.31/x
  3. Step 3: Cross multiply
    12,472.88x = 18,709.31 × 18,709.31
  4. Step 4: Simplify right side
    12,472.88x = 350,038,374.22
  5. Step 5: Solve for x
    x = 350,038,374.22/12,472.88
  6. Step 6: Final answer
    x = 28,063.97

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