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Finding the Third Proportional to 3,733.22 and 5,628.66

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Solution

The third proportional to 3,733.22 and 5,628.66 is: 8,486.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,733.22 : 5,628.66 = 5,628.66 : x
  2. Step 2: Convert to fraction form
    3,733.22/5,628.66 = 5,628.66/x
  3. Step 3: Cross multiply
    3,733.22x = 5,628.66 × 5,628.66
  4. Step 4: Simplify right side
    3,733.22x = 31,681,771.18
  5. Step 5: Solve for x
    x = 31,681,771.18/3,733.22
  6. Step 6: Final answer
    x = 8,486.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.