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Finding the Third Proportional to 41,591 and 63,993

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Solution

The third proportional to 41,591 and 63,993 is: 98,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,591 : 63,993 = 63,993 : x
  2. Step 2: Convert to fraction form
    41,591/63,993 = 63,993/x
  3. Step 3: Cross multiply
    41,591x = 63,993 × 63,993
  4. Step 4: Simplify right side
    41,591x = 4,095,104,049
  5. Step 5: Solve for x
    x = 4,095,104,049/41,591
  6. Step 6: Final answer
    x = 98,461.30

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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.