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Finding the Third Proportional to 13,038 and 26,844

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Solution

The third proportional to 13,038 and 26,844 is: 55,269.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,038 : 26,844 = 26,844 : x
  2. Step 2: Convert to fraction form
    13,038/26,844 = 26,844/x
  3. Step 3: Cross multiply
    13,038x = 26,844 × 26,844
  4. Step 4: Simplify right side
    13,038x = 720,600,336
  5. Step 5: Solve for x
    x = 720,600,336/13,038
  6. Step 6: Final answer
    x = 55,269.24

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.