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Finding the Third Proportional to 17,617.50 and 43,770.38

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Solution

The third proportional to 17,617.50 and 43,770.38 is: 108,746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.50 : 43,770.38 = 43,770.38 : x
  2. Step 2: Convert to fraction form
    17,617.50/43,770.38 = 43,770.38/x
  3. Step 3: Cross multiply
    17,617.50x = 43,770.38 × 43,770.38
  4. Step 4: Simplify right side
    17,617.50x = 1,915,845,727.64
  5. Step 5: Solve for x
    x = 1,915,845,727.64/17,617.50
  6. Step 6: Final answer
    x = 108,746.74

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These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.