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Finding the Third Proportional to 5,343.38 and 11,669.81

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Solution

The third proportional to 5,343.38 and 11,669.81 is: 25,486.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.38 : 11,669.81 = 11,669.81 : x
  2. Step 2: Convert to fraction form
    5,343.38/11,669.81 = 11,669.81/x
  3. Step 3: Cross multiply
    5,343.38x = 11,669.81 × 11,669.81
  4. Step 4: Simplify right side
    5,343.38x = 136,184,523.79
  5. Step 5: Solve for x
    x = 136,184,523.79/5,343.38
  6. Step 6: Final answer
    x = 25,486.61

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Why These Related Problems?

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