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Finding the Third Proportional to 8,596.13 and 13,668.75

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Solution

The third proportional to 8,596.13 and 13,668.75 is: 21,734.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.13 : 13,668.75 = 13,668.75 : x
  2. Step 2: Convert to fraction form
    8,596.13/13,668.75 = 13,668.75/x
  3. Step 3: Cross multiply
    8,596.13x = 13,668.75 × 13,668.75
  4. Step 4: Simplify right side
    8,596.13x = 186,834,726.56
  5. Step 5: Solve for x
    x = 186,834,726.56/8,596.13
  6. Step 6: Final answer
    x = 21,734.76

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.