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Finding the Third Proportional to 25,806 and 55,983

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Solution

The third proportional to 25,806 and 55,983 is: 121,448.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806 : 55,983 = 55,983 : x
  2. Step 2: Convert to fraction form
    25,806/55,983 = 55,983/x
  3. Step 3: Cross multiply
    25,806x = 55,983 × 55,983
  4. Step 4: Simplify right side
    25,806x = 3,134,096,289
  5. Step 5: Solve for x
    x = 3,134,096,289/25,806
  6. Step 6: Final answer
    x = 121,448.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.