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Finding the Third Proportional to 27,833.50 and 43,102.75

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Solution

The third proportional to 27,833.50 and 43,102.75 is: 66,748.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,833.50 : 43,102.75 = 43,102.75 : x
  2. Step 2: Convert to fraction form
    27,833.50/43,102.75 = 43,102.75/x
  3. Step 3: Cross multiply
    27,833.50x = 43,102.75 × 43,102.75
  4. Step 4: Simplify right side
    27,833.50x = 1,857,847,057.56
  5. Step 5: Solve for x
    x = 1,857,847,057.56/27,833.50
  6. Step 6: Final answer
    x = 66,748.60

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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.