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Finding the Third Proportional to 27,806 and 59,986

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Solution

The third proportional to 27,806 and 59,986 is: 129,408.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,806 : 59,986 = 59,986 : x
  2. Step 2: Convert to fraction form
    27,806/59,986 = 59,986/x
  3. Step 3: Cross multiply
    27,806x = 59,986 × 59,986
  4. Step 4: Simplify right side
    27,806x = 3,598,320,196
  5. Step 5: Solve for x
    x = 3,598,320,196/27,806
  6. Step 6: Final answer
    x = 129,408.05

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.