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Finding the Third Proportional to 30,763.97 and 65,793.38

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Solution

The third proportional to 30,763.97 and 65,793.38 is: 140,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,763.97 : 65,793.38 = 65,793.38 : x
  2. Step 2: Convert to fraction form
    30,763.97/65,793.38 = 65,793.38/x
  3. Step 3: Cross multiply
    30,763.97x = 65,793.38 × 65,793.38
  4. Step 4: Simplify right side
    30,763.97x = 4,328,768,193.89
  5. Step 5: Solve for x
    x = 4,328,768,193.89/30,763.97
  6. Step 6: Final answer
    x = 140,709.03

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.