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Finding the Third Proportional to 5,794 and 13,297

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Solution

The third proportional to 5,794 and 13,297 is: 30,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794 : 13,297 = 13,297 : x
  2. Step 2: Convert to fraction form
    5,794/13,297 = 13,297/x
  3. Step 3: Cross multiply
    5,794x = 13,297 × 13,297
  4. Step 4: Simplify right side
    5,794x = 176,810,209
  5. Step 5: Solve for x
    x = 176,810,209/5,794
  6. Step 6: Final answer
    x = 30,516.09

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.