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Finding the Third Proportional to 17,064 and 27,391.50

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Solution

The third proportional to 17,064 and 27,391.50 is: 43,969.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,064 : 27,391.50 = 27,391.50 : x
  2. Step 2: Convert to fraction form
    17,064/27,391.50 = 27,391.50/x
  3. Step 3: Cross multiply
    17,064x = 27,391.50 × 27,391.50
  4. Step 4: Simplify right side
    17,064x = 750,294,272.25
  5. Step 5: Solve for x
    x = 750,294,272.25/17,064
  6. Step 6: Final answer
    x = 43,969.43

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.