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Finding the Third Proportional to 19,929 and 29,940.75

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Solution

The third proportional to 19,929 and 29,940.75 is: 44,982.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,929 : 29,940.75 = 29,940.75 : x
  2. Step 2: Convert to fraction form
    19,929/29,940.75 = 29,940.75/x
  3. Step 3: Cross multiply
    19,929x = 29,940.75 × 29,940.75
  4. Step 4: Simplify right side
    19,929x = 896,448,510.56
  5. Step 5: Solve for x
    x = 896,448,510.56/19,929
  6. Step 6: Final answer
    x = 44,982.11

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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.