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Finding the Third Proportional to 18,270.56 and 31,028.06

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Solution

The third proportional to 18,270.56 and 31,028.06 is: 52,693.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270.56 : 31,028.06 = 31,028.06 : x
  2. Step 2: Convert to fraction form
    18,270.56/31,028.06 = 31,028.06/x
  3. Step 3: Cross multiply
    18,270.56x = 31,028.06 × 31,028.06
  4. Step 4: Simplify right side
    18,270.56x = 962,740,662.50
  5. Step 5: Solve for x
    x = 962,740,662.50/18,270.56
  6. Step 6: Final answer
    x = 52,693.54

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.