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Finding the Third Proportional to 12,004 and 25,226

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Solution

The third proportional to 12,004 and 25,226 is: 53,011.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,004 : 25,226 = 25,226 : x
  2. Step 2: Convert to fraction form
    12,004/25,226 = 25,226/x
  3. Step 3: Cross multiply
    12,004x = 25,226 × 25,226
  4. Step 4: Simplify right side
    12,004x = 636,351,076
  5. Step 5: Solve for x
    x = 636,351,076/12,004
  6. Step 6: Final answer
    x = 53,011.59

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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.