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Finding the Third Proportional to 27,317 and 37,385

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Solution

The third proportional to 27,317 and 37,385 is: 51,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,317 : 37,385 = 37,385 : x
  2. Step 2: Convert to fraction form
    27,317/37,385 = 37,385/x
  3. Step 3: Cross multiply
    27,317x = 37,385 × 37,385
  4. Step 4: Simplify right side
    27,317x = 1,397,638,225
  5. Step 5: Solve for x
    x = 1,397,638,225/27,317
  6. Step 6: Final answer
    x = 51,163.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.