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Finding the Third Proportional to 4,737.75 and 7,107.19

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Solution

The third proportional to 4,737.75 and 7,107.19 is: 10,661.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.75 : 7,107.19 = 7,107.19 : x
  2. Step 2: Convert to fraction form
    4,737.75/7,107.19 = 7,107.19/x
  3. Step 3: Cross multiply
    4,737.75x = 7,107.19 × 7,107.19
  4. Step 4: Simplify right side
    4,737.75x = 50,512,114.16
  5. Step 5: Solve for x
    x = 50,512,114.16/4,737.75
  6. Step 6: Final answer
    x = 10,661.63

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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.