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Finding the Third Proportional to 10,843.88 and 17,184.66

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Solution

The third proportional to 10,843.88 and 17,184.66 is: 27,233.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.88 : 17,184.66 = 17,184.66 : x
  2. Step 2: Convert to fraction form
    10,843.88/17,184.66 = 17,184.66/x
  3. Step 3: Cross multiply
    10,843.88x = 17,184.66 × 17,184.66
  4. Step 4: Simplify right side
    10,843.88x = 295,312,410.43
  5. Step 5: Solve for x
    x = 295,312,410.43/10,843.88
  6. Step 6: Final answer
    x = 27,233.11

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.