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Finding the Third Proportional to 41,411 and 64,577

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Solution

The third proportional to 41,411 and 64,577 is: 100,702.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,411 : 64,577 = 64,577 : x
  2. Step 2: Convert to fraction form
    41,411/64,577 = 64,577/x
  3. Step 3: Cross multiply
    41,411x = 64,577 × 64,577
  4. Step 4: Simplify right side
    41,411x = 4,170,188,929
  5. Step 5: Solve for x
    x = 4,170,188,929/41,411
  6. Step 6: Final answer
    x = 100,702.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.