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Finding the Third Proportional to 7,221.38 and 15,627.38

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Solution

The third proportional to 7,221.38 and 15,627.38 is: 33,818.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.38 : 15,627.38 = 15,627.38 : x
  2. Step 2: Convert to fraction form
    7,221.38/15,627.38 = 15,627.38/x
  3. Step 3: Cross multiply
    7,221.38x = 15,627.38 × 15,627.38
  4. Step 4: Simplify right side
    7,221.38x = 244,214,849.39
  5. Step 5: Solve for x
    x = 244,214,849.39/7,221.38
  6. Step 6: Final answer
    x = 33,818.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.