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Finding the Third Proportional to 17,717.06 and 27,185.63

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Solution

The third proportional to 17,717.06 and 27,185.63 is: 41,714.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,717.06 : 27,185.63 = 27,185.63 : x
  2. Step 2: Convert to fraction form
    17,717.06/27,185.63 = 27,185.63/x
  3. Step 3: Cross multiply
    17,717.06x = 27,185.63 × 27,185.63
  4. Step 4: Simplify right side
    17,717.06x = 739,058,206.64
  5. Step 5: Solve for x
    x = 739,058,206.64/17,717.06
  6. Step 6: Final answer
    x = 41,714.49

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.