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Finding the Third Proportional to 8,583.75 and 18,090.56

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Solution

The third proportional to 8,583.75 and 18,090.56 is: 38,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.75 : 18,090.56 = 18,090.56 : x
  2. Step 2: Convert to fraction form
    8,583.75/18,090.56 = 18,090.56/x
  3. Step 3: Cross multiply
    8,583.75x = 18,090.56 × 18,090.56
  4. Step 4: Simplify right side
    8,583.75x = 327,268,451.57
  5. Step 5: Solve for x
    x = 327,268,451.57/8,583.75
  6. Step 6: Final answer
    x = 38,126.51

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.