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Finding the Third Proportional to 8,188.44 and 17,559.00

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Solution

The third proportional to 8,188.44 and 17,559.00 is: 37,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.44 : 17,559.00 = 17,559.00 : x
  2. Step 2: Convert to fraction form
    8,188.44/17,559.00 = 17,559.00/x
  3. Step 3: Cross multiply
    8,188.44x = 17,559.00 × 17,559.00
  4. Step 4: Simplify right side
    8,188.44x = 308,318,635.33
  5. Step 5: Solve for x
    x = 308,318,635.33/8,188.44
  6. Step 6: Final answer
    x = 37,652.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.