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Finding the Third Proportional to 17,617.78 and 26,984.81

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Solution

The third proportional to 17,617.78 and 26,984.81 is: 41,332.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,617.78 : 26,984.81 = 26,984.81 : x
  2. Step 2: Convert to fraction form
    17,617.78/26,984.81 = 26,984.81/x
  3. Step 3: Cross multiply
    17,617.78x = 26,984.81 × 26,984.81
  4. Step 4: Simplify right side
    17,617.78x = 728,180,105.66
  5. Step 5: Solve for x
    x = 728,180,105.66/17,617.78
  6. Step 6: Final answer
    x = 41,332.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.