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Finding the Third Proportional to 4,105.48 and 8,502.89

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Solution

The third proportional to 4,105.48 and 8,502.89 is: 17,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105.48 : 8,502.89 = 8,502.89 : x
  2. Step 2: Convert to fraction form
    4,105.48/8,502.89 = 8,502.89/x
  3. Step 3: Cross multiply
    4,105.48x = 8,502.89 × 8,502.89
  4. Step 4: Simplify right side
    4,105.48x = 72,299,148.98
  5. Step 5: Solve for x
    x = 72,299,148.98/4,105.48
  6. Step 6: Final answer
    x = 17,610.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.