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Finding the Third Proportional to 12,902.91 and 18,170.16

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Solution

The third proportional to 12,902.91 and 18,170.16 is: 25,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.91 : 18,170.16 = 18,170.16 : x
  2. Step 2: Convert to fraction form
    12,902.91/18,170.16 = 18,170.16/x
  3. Step 3: Cross multiply
    12,902.91x = 18,170.16 × 18,170.16
  4. Step 4: Simplify right side
    12,902.91x = 330,154,578.15
  5. Step 5: Solve for x
    x = 330,154,578.15/12,902.91
  6. Step 6: Final answer
    x = 25,587.61

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.