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Finding the Third Proportional to 43,274 and 64,912

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Solution

The third proportional to 43,274 and 64,912 is: 97,369.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,274 : 64,912 = 64,912 : x
  2. Step 2: Convert to fraction form
    43,274/64,912 = 64,912/x
  3. Step 3: Cross multiply
    43,274x = 64,912 × 64,912
  4. Step 4: Simplify right side
    43,274x = 4,213,567,744
  5. Step 5: Solve for x
    x = 4,213,567,744/43,274
  6. Step 6: Final answer
    x = 97,369.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.