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Finding the Third Proportional to 17,969.34 and 27,205.88

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Solution

The third proportional to 17,969.34 and 27,205.88 is: 41,190.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,969.34 : 27,205.88 = 27,205.88 : x
  2. Step 2: Convert to fraction form
    17,969.34/27,205.88 = 27,205.88/x
  3. Step 3: Cross multiply
    17,969.34x = 27,205.88 × 27,205.88
  4. Step 4: Simplify right side
    17,969.34x = 740,159,634.52
  5. Step 5: Solve for x
    x = 740,159,634.52/17,969.34
  6. Step 6: Final answer
    x = 41,190.13

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.