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Finding the Third Proportional to 25,918 and 55,799

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Solution

The third proportional to 25,918 and 55,799 is: 120,129.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,918 : 55,799 = 55,799 : x
  2. Step 2: Convert to fraction form
    25,918/55,799 = 55,799/x
  3. Step 3: Cross multiply
    25,918x = 55,799 × 55,799
  4. Step 4: Simplify right side
    25,918x = 3,113,528,401
  5. Step 5: Solve for x
    x = 3,113,528,401/25,918
  6. Step 6: Final answer
    x = 120,129.96

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.