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Finding the Third Proportional to 27,773 and 43,016

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Solution

The third proportional to 27,773 and 43,016 is: 66,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,773 : 43,016 = 43,016 : x
  2. Step 2: Convert to fraction form
    27,773/43,016 = 43,016/x
  3. Step 3: Cross multiply
    27,773x = 43,016 × 43,016
  4. Step 4: Simplify right side
    27,773x = 1,850,376,256
  5. Step 5: Solve for x
    x = 1,850,376,256/27,773
  6. Step 6: Final answer
    x = 66,625.00

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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.