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Finding the Third Proportional to 1,217.25 and 1,907.44

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Solution

The third proportional to 1,217.25 and 1,907.44 is: 2,988.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.25 : 1,907.44 = 1,907.44 : x
  2. Step 2: Convert to fraction form
    1,217.25/1,907.44 = 1,907.44/x
  3. Step 3: Cross multiply
    1,217.25x = 1,907.44 × 1,907.44
  4. Step 4: Simplify right side
    1,217.25x = 3,638,317.82
  5. Step 5: Solve for x
    x = 3,638,317.82/1,217.25
  6. Step 6: Final answer
    x = 2,988.97

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.