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Finding the Third Proportional to 12,138.19 and 26,021.25

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Solution

The third proportional to 12,138.19 and 26,021.25 is: 55,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,138.19 : 26,021.25 = 26,021.25 : x
  2. Step 2: Convert to fraction form
    12,138.19/26,021.25 = 26,021.25/x
  3. Step 3: Cross multiply
    12,138.19x = 26,021.25 × 26,021.25
  4. Step 4: Simplify right side
    12,138.19x = 677,105,451.56
  5. Step 5: Solve for x
    x = 677,105,451.56/12,138.19
  6. Step 6: Final answer
    x = 55,783.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.