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Finding the Third Proportional to 5,694.26 and 12,509.23

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Solution

The third proportional to 5,694.26 and 12,509.23 is: 27,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.26 : 12,509.23 = 12,509.23 : x
  2. Step 2: Convert to fraction form
    5,694.26/12,509.23 = 12,509.23/x
  3. Step 3: Cross multiply
    5,694.26x = 12,509.23 × 12,509.23
  4. Step 4: Simplify right side
    5,694.26x = 156,480,749.19
  5. Step 5: Solve for x
    x = 156,480,749.19/5,694.26
  6. Step 6: Final answer
    x = 27,480.45

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.