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Finding the Third Proportional to 12,001.92 and 25,245.42

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Solution

The third proportional to 12,001.92 and 25,245.42 is: 53,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.92 : 25,245.42 = 25,245.42 : x
  2. Step 2: Convert to fraction form
    12,001.92/25,245.42 = 25,245.42/x
  3. Step 3: Cross multiply
    12,001.92x = 25,245.42 × 25,245.42
  4. Step 4: Simplify right side
    12,001.92x = 637,331,325.65
  5. Step 5: Solve for x
    x = 637,331,325.65/12,001.92
  6. Step 6: Final answer
    x = 53,102.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.