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Finding the Third Proportional to 5,478 and 11,777

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Solution

The third proportional to 5,478 and 11,777 is: 25,319.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,478 : 11,777 = 11,777 : x
  2. Step 2: Convert to fraction form
    5,478/11,777 = 11,777/x
  3. Step 3: Cross multiply
    5,478x = 11,777 × 11,777
  4. Step 4: Simplify right side
    5,478x = 138,697,729
  5. Step 5: Solve for x
    x = 138,697,729/5,478
  6. Step 6: Final answer
    x = 25,319.05

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Why These Related Problems?

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