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Finding the Third Proportional to 2,173.50 and 2,826.56

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Solution

The third proportional to 2,173.50 and 2,826.56 is: 3,675.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,173.50 : 2,826.56 = 2,826.56 : x
  2. Step 2: Convert to fraction form
    2,173.50/2,826.56 = 2,826.56/x
  3. Step 3: Cross multiply
    2,173.50x = 2,826.56 × 2,826.56
  4. Step 4: Simplify right side
    2,173.50x = 7,989,455.57
  5. Step 5: Solve for x
    x = 7,989,455.57/2,173.50
  6. Step 6: Final answer
    x = 3,675.85

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.