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Finding the Third Proportional to 12,137 and 26,713

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Solution

The third proportional to 12,137 and 26,713 is: 58,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,137 : 26,713 = 26,713 : x
  2. Step 2: Convert to fraction form
    12,137/26,713 = 26,713/x
  3. Step 3: Cross multiply
    12,137x = 26,713 × 26,713
  4. Step 4: Simplify right side
    12,137x = 713,584,369
  5. Step 5: Solve for x
    x = 713,584,369/12,137
  6. Step 6: Final answer
    x = 58,794.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.