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Finding the Third Proportional to 10,932.19 and 17,186.63

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Solution

The third proportional to 10,932.19 and 17,186.63 is: 27,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.19 : 17,186.63 = 17,186.63 : x
  2. Step 2: Convert to fraction form
    10,932.19/17,186.63 = 17,186.63/x
  3. Step 3: Cross multiply
    10,932.19x = 17,186.63 × 17,186.63
  4. Step 4: Simplify right side
    10,932.19x = 295,380,078.89
  5. Step 5: Solve for x
    x = 295,380,078.89/10,932.19
  6. Step 6: Final answer
    x = 27,019.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.