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Finding the Third Proportional to 2,297.25 and 3,650.91

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Solution

The third proportional to 2,297.25 and 3,650.91 is: 5,802.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,297.25 : 3,650.91 = 3,650.91 : x
  2. Step 2: Convert to fraction form
    2,297.25/3,650.91 = 3,650.91/x
  3. Step 3: Cross multiply
    2,297.25x = 3,650.91 × 3,650.91
  4. Step 4: Simplify right side
    2,297.25x = 13,329,116.45
  5. Step 5: Solve for x
    x = 13,329,116.45/2,297.25
  6. Step 6: Final answer
    x = 5,802.21

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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.