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Finding the Third Proportional to 10,672.50 and 17,049.75

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Solution

The third proportional to 10,672.50 and 17,049.75 is: 27,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,672.50 : 17,049.75 = 17,049.75 : x
  2. Step 2: Convert to fraction form
    10,672.50/17,049.75 = 17,049.75/x
  3. Step 3: Cross multiply
    10,672.50x = 17,049.75 × 17,049.75
  4. Step 4: Simplify right side
    10,672.50x = 290,693,975.06
  5. Step 5: Solve for x
    x = 290,693,975.06/10,672.50
  6. Step 6: Final answer
    x = 27,237.66

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.