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Finding the Third Proportional to 8,245.13 and 11,755.13

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Solution

The third proportional to 8,245.13 and 11,755.13 is: 16,759.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.13 : 11,755.13 = 11,755.13 : x
  2. Step 2: Convert to fraction form
    8,245.13/11,755.13 = 11,755.13/x
  3. Step 3: Cross multiply
    8,245.13x = 11,755.13 × 11,755.13
  4. Step 4: Simplify right side
    8,245.13x = 138,182,963.77
  5. Step 5: Solve for x
    x = 138,182,963.77/8,245.13
  6. Step 6: Final answer
    x = 16,759.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.