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Finding the Third Proportional to 17,204.06 and 25,486.31

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Solution

The third proportional to 17,204.06 and 25,486.31 is: 37,755.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,204.06 : 25,486.31 = 25,486.31 : x
  2. Step 2: Convert to fraction form
    17,204.06/25,486.31 = 25,486.31/x
  3. Step 3: Cross multiply
    17,204.06x = 25,486.31 × 25,486.31
  4. Step 4: Simplify right side
    17,204.06x = 649,552,124.85
  5. Step 5: Solve for x
    x = 649,552,124.85/17,204.06
  6. Step 6: Final answer
    x = 37,755.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.