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Finding the Third Proportional to 9,169.50 and 17,610

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Solution

The third proportional to 9,169.50 and 17,610 is: 33,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.50 : 17,610 = 17,610 : x
  2. Step 2: Convert to fraction form
    9,169.50/17,610 = 17,610/x
  3. Step 3: Cross multiply
    9,169.50x = 17,610 × 17,610
  4. Step 4: Simplify right side
    9,169.50x = 310,112,100
  5. Step 5: Solve for x
    x = 310,112,100/9,169.50
  6. Step 6: Final answer
    x = 33,819.96

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These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.