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Finding the Third Proportional to 41,998 and 60,513

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Solution

The third proportional to 41,998 and 60,513 is: 87,190.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,998 : 60,513 = 60,513 : x
  2. Step 2: Convert to fraction form
    41,998/60,513 = 60,513/x
  3. Step 3: Cross multiply
    41,998x = 60,513 × 60,513
  4. Step 4: Simplify right side
    41,998x = 3,661,823,169
  5. Step 5: Solve for x
    x = 3,661,823,169/41,998
  6. Step 6: Final answer
    x = 87,190.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.