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Finding the Third Proportional to 12,803.06 and 26,238.94

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Solution

The third proportional to 12,803.06 and 26,238.94 is: 53,774.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.06 : 26,238.94 = 26,238.94 : x
  2. Step 2: Convert to fraction form
    12,803.06/26,238.94 = 26,238.94/x
  3. Step 3: Cross multiply
    12,803.06x = 26,238.94 × 26,238.94
  4. Step 4: Simplify right side
    12,803.06x = 688,481,841.13
  5. Step 5: Solve for x
    x = 688,481,841.13/12,803.06
  6. Step 6: Final answer
    x = 53,774.78

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.