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Finding the Third Proportional to 27,837 and 58,407

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Solution

The third proportional to 27,837 and 58,407 is: 122,548.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,837 : 58,407 = 58,407 : x
  2. Step 2: Convert to fraction form
    27,837/58,407 = 58,407/x
  3. Step 3: Cross multiply
    27,837x = 58,407 × 58,407
  4. Step 4: Simplify right side
    27,837x = 3,411,377,649
  5. Step 5: Solve for x
    x = 3,411,377,649/27,837
  6. Step 6: Final answer
    x = 122,548.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.