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Finding the Third Proportional to 17,064 and 37,041

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Solution

The third proportional to 17,064 and 37,041 is: 80,405.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,064 : 37,041 = 37,041 : x
  2. Step 2: Convert to fraction form
    17,064/37,041 = 37,041/x
  3. Step 3: Cross multiply
    17,064x = 37,041 × 37,041
  4. Step 4: Simplify right side
    17,064x = 1,372,035,681
  5. Step 5: Solve for x
    x = 1,372,035,681/17,064
  6. Step 6: Final answer
    x = 80,405.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.