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Finding the Third Proportional to 27,993 and 43,407

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Solution

The third proportional to 27,993 and 43,407 is: 67,308.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,993 : 43,407 = 43,407 : x
  2. Step 2: Convert to fraction form
    27,993/43,407 = 43,407/x
  3. Step 3: Cross multiply
    27,993x = 43,407 × 43,407
  4. Step 4: Simplify right side
    27,993x = 1,884,167,649
  5. Step 5: Solve for x
    x = 1,884,167,649/27,993
  6. Step 6: Final answer
    x = 67,308.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.