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Finding the Third Proportional to 3,032.75 and 4,552.69

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Solution

The third proportional to 3,032.75 and 4,552.69 is: 6,834.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.75 : 4,552.69 = 4,552.69 : x
  2. Step 2: Convert to fraction form
    3,032.75/4,552.69 = 4,552.69/x
  3. Step 3: Cross multiply
    3,032.75x = 4,552.69 × 4,552.69
  4. Step 4: Simplify right side
    3,032.75x = 20,726,990.15
  5. Step 5: Solve for x
    x = 20,726,990.15/3,032.75
  6. Step 6: Final answer
    x = 6,834.38

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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.