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Finding the Third Proportional to 17,601.75 and 43,699.50

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Solution

The third proportional to 17,601.75 and 43,699.50 is: 108,491.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,601.75 : 43,699.50 = 43,699.50 : x
  2. Step 2: Convert to fraction form
    17,601.75/43,699.50 = 43,699.50/x
  3. Step 3: Cross multiply
    17,601.75x = 43,699.50 × 43,699.50
  4. Step 4: Simplify right side
    17,601.75x = 1,909,646,300.25
  5. Step 5: Solve for x
    x = 1,909,646,300.25/17,601.75
  6. Step 6: Final answer
    x = 108,491.84

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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.