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Finding the Third Proportional to 18,627.47 and 43,728.61

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Solution

The third proportional to 18,627.47 and 43,728.61 is: 102,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,627.47 : 43,728.61 = 43,728.61 : x
  2. Step 2: Convert to fraction form
    18,627.47/43,728.61 = 43,728.61/x
  3. Step 3: Cross multiply
    18,627.47x = 43,728.61 × 43,728.61
  4. Step 4: Simplify right side
    18,627.47x = 1,912,191,277.87
  5. Step 5: Solve for x
    x = 1,912,191,277.87/18,627.47
  6. Step 6: Final answer
    x = 102,654.38

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.