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Finding the Third Proportional to 29,430 and 45,198

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Solution

The third proportional to 29,430 and 45,198 is: 69,414.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,430 : 45,198 = 45,198 : x
  2. Step 2: Convert to fraction form
    29,430/45,198 = 45,198/x
  3. Step 3: Cross multiply
    29,430x = 45,198 × 45,198
  4. Step 4: Simplify right side
    29,430x = 2,042,859,204
  5. Step 5: Solve for x
    x = 2,042,859,204/29,430
  6. Step 6: Final answer
    x = 69,414.18

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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.