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Finding the Third Proportional to 40,085 and 63,469

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Solution

The third proportional to 40,085 and 63,469 is: 100,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,085 : 63,469 = 63,469 : x
  2. Step 2: Convert to fraction form
    40,085/63,469 = 63,469/x
  3. Step 3: Cross multiply
    40,085x = 63,469 × 63,469
  4. Step 4: Simplify right side
    40,085x = 4,028,313,961
  5. Step 5: Solve for x
    x = 4,028,313,961/40,085
  6. Step 6: Final answer
    x = 100,494.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.