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Finding the Third Proportional to 41,962 and 64,407

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Solution

The third proportional to 41,962 and 64,407 is: 98,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,962 : 64,407 = 64,407 : x
  2. Step 2: Convert to fraction form
    41,962/64,407 = 64,407/x
  3. Step 3: Cross multiply
    41,962x = 64,407 × 64,407
  4. Step 4: Simplify right side
    41,962x = 4,148,261,649
  5. Step 5: Solve for x
    x = 4,148,261,649/41,962
  6. Step 6: Final answer
    x = 98,857.58

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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.