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Finding the Third Proportional to 3,122.46 and 4,523.50

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Solution

The third proportional to 3,122.46 and 4,523.50 is: 6,553.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,122.46 : 4,523.50 = 4,523.50 : x
  2. Step 2: Convert to fraction form
    3,122.46/4,523.50 = 4,523.50/x
  3. Step 3: Cross multiply
    3,122.46x = 4,523.50 × 4,523.50
  4. Step 4: Simplify right side
    3,122.46x = 20,462,069.92
  5. Step 5: Solve for x
    x = 20,462,069.92/3,122.46
  6. Step 6: Final answer
    x = 6,553.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.