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Finding the Third Proportional to 4,793.55 and 7,342.21

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Solution

The third proportional to 4,793.55 and 7,342.21 is: 11,245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,793.55 : 7,342.21 = 7,342.21 : x
  2. Step 2: Convert to fraction form
    4,793.55/7,342.21 = 7,342.21/x
  3. Step 3: Cross multiply
    4,793.55x = 7,342.21 × 7,342.21
  4. Step 4: Simplify right side
    4,793.55x = 53,908,004.09
  5. Step 5: Solve for x
    x = 53,908,004.09/4,793.55
  6. Step 6: Final answer
    x = 11,245.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.