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Finding the Third Proportional to 13,197 and 26,931

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Solution

The third proportional to 13,197 and 26,931 is: 54,957.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197 : 26,931 = 26,931 : x
  2. Step 2: Convert to fraction form
    13,197/26,931 = 26,931/x
  3. Step 3: Cross multiply
    13,197x = 26,931 × 26,931
  4. Step 4: Simplify right side
    13,197x = 725,278,761
  5. Step 5: Solve for x
    x = 725,278,761/13,197
  6. Step 6: Final answer
    x = 54,957.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.