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Finding the Third Proportional to 41,428 and 59,198

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Solution

The third proportional to 41,428 and 59,198 is: 84,590.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,428 : 59,198 = 59,198 : x
  2. Step 2: Convert to fraction form
    41,428/59,198 = 59,198/x
  3. Step 3: Cross multiply
    41,428x = 59,198 × 59,198
  4. Step 4: Simplify right side
    41,428x = 3,504,403,204
  5. Step 5: Solve for x
    x = 3,504,403,204/41,428
  6. Step 6: Final answer
    x = 84,590.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.