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Finding the Third Proportional to 11,750.06 and 18,202.78

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Solution

The third proportional to 11,750.06 and 18,202.78 is: 28,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,750.06 : 18,202.78 = 18,202.78 : x
  2. Step 2: Convert to fraction form
    11,750.06/18,202.78 = 18,202.78/x
  3. Step 3: Cross multiply
    11,750.06x = 18,202.78 × 18,202.78
  4. Step 4: Simplify right side
    11,750.06x = 331,341,245.24
  5. Step 5: Solve for x
    x = 331,341,245.24/11,750.06
  6. Step 6: Final answer
    x = 28,199.10

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.