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Finding the Third Proportional to 12,904.03 and 18,171.84

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Solution

The third proportional to 12,904.03 and 18,171.84 is: 25,590.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,904.03 : 18,171.84 = 18,171.84 : x
  2. Step 2: Convert to fraction form
    12,904.03/18,171.84 = 18,171.84/x
  3. Step 3: Cross multiply
    12,904.03x = 18,171.84 × 18,171.84
  4. Step 4: Simplify right side
    12,904.03x = 330,215,905.27
  5. Step 5: Solve for x
    x = 330,215,905.27/12,904.03
  6. Step 6: Final answer
    x = 25,590.14

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Why These Related Problems?

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