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Finding the Third Proportional to 34,824 and 47,027

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Solution

The third proportional to 34,824 and 47,027 is: 63,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,824 : 47,027 = 47,027 : x
  2. Step 2: Convert to fraction form
    34,824/47,027 = 47,027/x
  3. Step 3: Cross multiply
    34,824x = 47,027 × 47,027
  4. Step 4: Simplify right side
    34,824x = 2,211,538,729
  5. Step 5: Solve for x
    x = 2,211,538,729/34,824
  6. Step 6: Final answer
    x = 63,506.17

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.