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Finding the Third Proportional to 7,539.38 and 12,321.56

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Solution

The third proportional to 7,539.38 and 12,321.56 is: 20,137.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.38 : 12,321.56 = 12,321.56 : x
  2. Step 2: Convert to fraction form
    7,539.38/12,321.56 = 12,321.56/x
  3. Step 3: Cross multiply
    7,539.38x = 12,321.56 × 12,321.56
  4. Step 4: Simplify right side
    7,539.38x = 151,820,902.44
  5. Step 5: Solve for x
    x = 151,820,902.44/7,539.38
  6. Step 6: Final answer
    x = 20,137.07

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.