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Finding the Third Proportional to 5,204.81 and 7,937.44

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Solution

The third proportional to 5,204.81 and 7,937.44 is: 12,104.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.81 : 7,937.44 = 7,937.44 : x
  2. Step 2: Convert to fraction form
    5,204.81/7,937.44 = 7,937.44/x
  3. Step 3: Cross multiply
    5,204.81x = 7,937.44 × 7,937.44
  4. Step 4: Simplify right side
    5,204.81x = 63,002,914.07
  5. Step 5: Solve for x
    x = 63,002,914.07/5,204.81
  6. Step 6: Final answer
    x = 12,104.74

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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.