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Finding the Third Proportional to 41,014 and 64,255

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Solution

The third proportional to 41,014 and 64,255 is: 100,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,014 : 64,255 = 64,255 : x
  2. Step 2: Convert to fraction form
    41,014/64,255 = 64,255/x
  3. Step 3: Cross multiply
    41,014x = 64,255 × 64,255
  4. Step 4: Simplify right side
    41,014x = 4,128,705,025
  5. Step 5: Solve for x
    x = 4,128,705,025/41,014
  6. Step 6: Final answer
    x = 100,665.75

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.