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Finding the Third Proportional to 5,601.94 and 12,191.63

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Solution

The third proportional to 5,601.94 and 12,191.63 is: 26,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,601.94 : 12,191.63 = 12,191.63 : x
  2. Step 2: Convert to fraction form
    5,601.94/12,191.63 = 12,191.63/x
  3. Step 3: Cross multiply
    5,601.94x = 12,191.63 × 12,191.63
  4. Step 4: Simplify right side
    5,601.94x = 148,635,720.14
  5. Step 5: Solve for x
    x = 148,635,720.14/5,601.94
  6. Step 6: Final answer
    x = 26,532.91

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.