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Finding the Third Proportional to 29,198 and 45,093

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Solution

The third proportional to 29,198 and 45,093 is: 69,641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,198 : 45,093 = 45,093 : x
  2. Step 2: Convert to fraction form
    29,198/45,093 = 45,093/x
  3. Step 3: Cross multiply
    29,198x = 45,093 × 45,093
  4. Step 4: Simplify right side
    29,198x = 2,033,378,649
  5. Step 5: Solve for x
    x = 2,033,378,649/29,198
  6. Step 6: Final answer
    x = 69,641.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.