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Finding the Third Proportional to 5,795.44 and 12,653.44

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Solution

The third proportional to 5,795.44 and 12,653.44 is: 27,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.44 : 12,653.44 = 12,653.44 : x
  2. Step 2: Convert to fraction form
    5,795.44/12,653.44 = 12,653.44/x
  3. Step 3: Cross multiply
    5,795.44x = 12,653.44 × 12,653.44
  4. Step 4: Simplify right side
    5,795.44x = 160,109,480.57
  5. Step 5: Solve for x
    x = 160,109,480.57/5,795.44
  6. Step 6: Final answer
    x = 27,626.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.