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Finding the Third Proportional to 1,295.26 and 2,054.11

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Solution

The third proportional to 1,295.26 and 2,054.11 is: 3,257.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.26 : 2,054.11 = 2,054.11 : x
  2. Step 2: Convert to fraction form
    1,295.26/2,054.11 = 2,054.11/x
  3. Step 3: Cross multiply
    1,295.26x = 2,054.11 × 2,054.11
  4. Step 4: Simplify right side
    1,295.26x = 4,219,365.32
  5. Step 5: Solve for x
    x = 4,219,365.32/1,295.26
  6. Step 6: Final answer
    x = 3,257.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.