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Finding the Third Proportional to 5,399.16 and 11,800.69

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Solution

The third proportional to 5,399.16 and 11,800.69 is: 25,792.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,399.16 : 11,800.69 = 11,800.69 : x
  2. Step 2: Convert to fraction form
    5,399.16/11,800.69 = 11,800.69/x
  3. Step 3: Cross multiply
    5,399.16x = 11,800.69 × 11,800.69
  4. Step 4: Simplify right side
    5,399.16x = 139,256,225.47
  5. Step 5: Solve for x
    x = 139,256,225.47/5,399.16
  6. Step 6: Final answer
    x = 25,792.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.