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Finding the Third Proportional to 6,317.37 and 13,755.45

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Solution

The third proportional to 6,317.37 and 13,755.45 is: 29,951.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.37 : 13,755.45 = 13,755.45 : x
  2. Step 2: Convert to fraction form
    6,317.37/13,755.45 = 13,755.45/x
  3. Step 3: Cross multiply
    6,317.37x = 13,755.45 × 13,755.45
  4. Step 4: Simplify right side
    6,317.37x = 189,212,275.75
  5. Step 5: Solve for x
    x = 189,212,275.75/6,317.37
  6. Step 6: Final answer
    x = 29,951.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.