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Finding the Third Proportional to 19,816.50 and 32,640.75

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Solution

The third proportional to 19,816.50 and 32,640.75 is: 53,764.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,816.50 : 32,640.75 = 32,640.75 : x
  2. Step 2: Convert to fraction form
    19,816.50/32,640.75 = 32,640.75/x
  3. Step 3: Cross multiply
    19,816.50x = 32,640.75 × 32,640.75
  4. Step 4: Simplify right side
    19,816.50x = 1,065,418,560.56
  5. Step 5: Solve for x
    x = 1,065,418,560.56/19,816.50
  6. Step 6: Final answer
    x = 53,764.21

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.