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Finding the Third Proportional to 2,029.22 and 5,502.09

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Solution

The third proportional to 2,029.22 and 5,502.09 is: 14,918.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,029.22 : 5,502.09 = 5,502.09 : x
  2. Step 2: Convert to fraction form
    2,029.22/5,502.09 = 5,502.09/x
  3. Step 3: Cross multiply
    2,029.22x = 5,502.09 × 5,502.09
  4. Step 4: Simplify right side
    2,029.22x = 30,273,035.63
  5. Step 5: Solve for x
    x = 30,273,035.63/2,029.22
  6. Step 6: Final answer
    x = 14,918.57

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.