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Finding the Third Proportional to 3,622.22 and 5,327.02

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Solution

The third proportional to 3,622.22 and 5,327.02 is: 7,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.22 : 5,327.02 = 5,327.02 : x
  2. Step 2: Convert to fraction form
    3,622.22/5,327.02 = 5,327.02/x
  3. Step 3: Cross multiply
    3,622.22x = 5,327.02 × 5,327.02
  4. Step 4: Simplify right side
    3,622.22x = 28,377,095.47
  5. Step 5: Solve for x
    x = 28,377,095.47/3,622.22
  6. Step 6: Final answer
    x = 7,834.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.