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Finding the Third Proportional to 41,782 and 63,997

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Solution

The third proportional to 41,782 and 63,997 is: 98,023.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,782 : 63,997 = 63,997 : x
  2. Step 2: Convert to fraction form
    41,782/63,997 = 63,997/x
  3. Step 3: Cross multiply
    41,782x = 63,997 × 63,997
  4. Step 4: Simplify right side
    41,782x = 4,095,616,009
  5. Step 5: Solve for x
    x = 4,095,616,009/41,782
  6. Step 6: Final answer
    x = 98,023.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.