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Finding the Third Proportional to 1,717.50 and 3,756.75

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Solution

The third proportional to 1,717.50 and 3,756.75 is: 8,217.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717.50 : 3,756.75 = 3,756.75 : x
  2. Step 2: Convert to fraction form
    1,717.50/3,756.75 = 3,756.75/x
  3. Step 3: Cross multiply
    1,717.50x = 3,756.75 × 3,756.75
  4. Step 4: Simplify right side
    1,717.50x = 14,113,170.56
  5. Step 5: Solve for x
    x = 14,113,170.56/1,717.50
  6. Step 6: Final answer
    x = 8,217.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.