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Finding the Third Proportional to 12,195.56 and 15,835.50

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Solution

The third proportional to 12,195.56 and 15,835.50 is: 20,561.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.56 : 15,835.50 = 15,835.50 : x
  2. Step 2: Convert to fraction form
    12,195.56/15,835.50 = 15,835.50/x
  3. Step 3: Cross multiply
    12,195.56x = 15,835.50 × 15,835.50
  4. Step 4: Simplify right side
    12,195.56x = 250,763,060.25
  5. Step 5: Solve for x
    x = 250,763,060.25/12,195.56
  6. Step 6: Final answer
    x = 20,561.83

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.