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Finding the Third Proportional to 4,756.22 and 7,135.17

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Solution

The third proportional to 4,756.22 and 7,135.17 is: 10,704.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.22 : 7,135.17 = 7,135.17 : x
  2. Step 2: Convert to fraction form
    4,756.22/7,135.17 = 7,135.17/x
  3. Step 3: Cross multiply
    4,756.22x = 7,135.17 × 7,135.17
  4. Step 4: Simplify right side
    4,756.22x = 50,910,677.69
  5. Step 5: Solve for x
    x = 50,910,677.69/4,756.22
  6. Step 6: Final answer
    x = 10,704.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.