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Finding the Third Proportional to 19,725.75 and 29,793.38

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Solution

The third proportional to 19,725.75 and 29,793.38 is: 44,999.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,725.75 : 29,793.38 = 29,793.38 : x
  2. Step 2: Convert to fraction form
    19,725.75/29,793.38 = 29,793.38/x
  3. Step 3: Cross multiply
    19,725.75x = 29,793.38 × 29,793.38
  4. Step 4: Simplify right side
    19,725.75x = 887,645,193.89
  5. Step 5: Solve for x
    x = 887,645,193.89/19,725.75
  6. Step 6: Final answer
    x = 44,999.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.