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Finding the Third Proportional to 5,523.19 and 13,349.81

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Solution

The third proportional to 5,523.19 and 13,349.81 is: 32,267.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,523.19 : 13,349.81 = 13,349.81 : x
  2. Step 2: Convert to fraction form
    5,523.19/13,349.81 = 13,349.81/x
  3. Step 3: Cross multiply
    5,523.19x = 13,349.81 × 13,349.81
  4. Step 4: Simplify right side
    5,523.19x = 178,217,493.79
  5. Step 5: Solve for x
    x = 178,217,493.79/5,523.19
  6. Step 6: Final answer
    x = 32,267.15

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.