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Finding the Third Proportional to 17,566.50 and 27,078.75

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Solution

The third proportional to 17,566.50 and 27,078.75 is: 41,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,566.50 : 27,078.75 = 27,078.75 : x
  2. Step 2: Convert to fraction form
    17,566.50/27,078.75 = 27,078.75/x
  3. Step 3: Cross multiply
    17,566.50x = 27,078.75 × 27,078.75
  4. Step 4: Simplify right side
    17,566.50x = 733,258,701.56
  5. Step 5: Solve for x
    x = 733,258,701.56/17,566.50
  6. Step 6: Final answer
    x = 41,741.88

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.