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Finding the Third Proportional to 41,588 and 58,203

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Solution

The third proportional to 41,588 and 58,203 is: 81,455.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,588 : 58,203 = 58,203 : x
  2. Step 2: Convert to fraction form
    41,588/58,203 = 58,203/x
  3. Step 3: Cross multiply
    41,588x = 58,203 × 58,203
  4. Step 4: Simplify right side
    41,588x = 3,387,589,209
  5. Step 5: Solve for x
    x = 3,387,589,209/41,588
  6. Step 6: Final answer
    x = 81,455.93

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.