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Finding the Third Proportional to 27,807 and 43,093

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Solution

The third proportional to 27,807 and 43,093 is: 66,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807 : 43,093 = 43,093 : x
  2. Step 2: Convert to fraction form
    27,807/43,093 = 43,093/x
  3. Step 3: Cross multiply
    27,807x = 43,093 × 43,093
  4. Step 4: Simplify right side
    27,807x = 1,857,006,649
  5. Step 5: Solve for x
    x = 1,857,006,649/27,807
  6. Step 6: Final answer
    x = 66,781.98

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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.