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Finding the Third Proportional to 19,586.81 and 24,912.56

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Solution

The third proportional to 19,586.81 and 24,912.56 is: 31,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.81 : 24,912.56 = 24,912.56 : x
  2. Step 2: Convert to fraction form
    19,586.81/24,912.56 = 24,912.56/x
  3. Step 3: Cross multiply
    19,586.81x = 24,912.56 × 24,912.56
  4. Step 4: Simplify right side
    19,586.81x = 620,635,770.32
  5. Step 5: Solve for x
    x = 620,635,770.32/19,586.81
  6. Step 6: Final answer
    x = 31,686.41

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.