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Finding the Third Proportional to 1,707.80 and 2,563.37

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Solution

The third proportional to 1,707.80 and 2,563.37 is: 3,847.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.80 : 2,563.37 = 2,563.37 : x
  2. Step 2: Convert to fraction form
    1,707.80/2,563.37 = 2,563.37/x
  3. Step 3: Cross multiply
    1,707.80x = 2,563.37 × 2,563.37
  4. Step 4: Simplify right side
    1,707.80x = 6,570,841.32
  5. Step 5: Solve for x
    x = 6,570,841.32/1,707.80
  6. Step 6: Final answer
    x = 3,847.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.