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Finding the Third Proportional to 12,536 and 26,944

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Solution

The third proportional to 12,536 and 26,944 is: 57,911.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,536 : 26,944 = 26,944 : x
  2. Step 2: Convert to fraction form
    12,536/26,944 = 26,944/x
  3. Step 3: Cross multiply
    12,536x = 26,944 × 26,944
  4. Step 4: Simplify right side
    12,536x = 725,979,136
  5. Step 5: Solve for x
    x = 725,979,136/12,536
  6. Step 6: Final answer
    x = 57,911.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.