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Finding the Third Proportional to 17,196.75 and 31,621.50

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Solution

The third proportional to 17,196.75 and 31,621.50 is: 58,145.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,196.75 : 31,621.50 = 31,621.50 : x
  2. Step 2: Convert to fraction form
    17,196.75/31,621.50 = 31,621.50/x
  3. Step 3: Cross multiply
    17,196.75x = 31,621.50 × 31,621.50
  4. Step 4: Simplify right side
    17,196.75x = 999,919,262.25
  5. Step 5: Solve for x
    x = 999,919,262.25/17,196.75
  6. Step 6: Final answer
    x = 58,145.83

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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.