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Finding the Third Proportional to 12,107 and 25,803

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Solution

The third proportional to 12,107 and 25,803 is: 54,992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,107 : 25,803 = 25,803 : x
  2. Step 2: Convert to fraction form
    12,107/25,803 = 25,803/x
  3. Step 3: Cross multiply
    12,107x = 25,803 × 25,803
  4. Step 4: Simplify right side
    12,107x = 665,794,809
  5. Step 5: Solve for x
    x = 665,794,809/12,107
  6. Step 6: Final answer
    x = 54,992.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.