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Finding the Third Proportional to 8,105.06 and 17,445.38

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Solution

The third proportional to 8,105.06 and 17,445.38 is: 37,549.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.06 : 17,445.38 = 17,445.38 : x
  2. Step 2: Convert to fraction form
    8,105.06/17,445.38 = 17,445.38/x
  3. Step 3: Cross multiply
    8,105.06x = 17,445.38 × 17,445.38
  4. Step 4: Simplify right side
    8,105.06x = 304,341,108.89
  5. Step 5: Solve for x
    x = 304,341,108.89/8,105.06
  6. Step 6: Final answer
    x = 37,549.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.