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Finding the Third Proportional to 27,137 and 41,570

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Solution

The third proportional to 27,137 and 41,570 is: 63,679.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,137 : 41,570 = 41,570 : x
  2. Step 2: Convert to fraction form
    27,137/41,570 = 41,570/x
  3. Step 3: Cross multiply
    27,137x = 41,570 × 41,570
  4. Step 4: Simplify right side
    27,137x = 1,728,064,900
  5. Step 5: Solve for x
    x = 1,728,064,900/27,137
  6. Step 6: Final answer
    x = 63,679.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.