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Finding the Third Proportional to 6,188.06 and 12,603.94

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Solution

The third proportional to 6,188.06 and 12,603.94 is: 25,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.06 : 12,603.94 = 12,603.94 : x
  2. Step 2: Convert to fraction form
    6,188.06/12,603.94 = 12,603.94/x
  3. Step 3: Cross multiply
    6,188.06x = 12,603.94 × 12,603.94
  4. Step 4: Simplify right side
    6,188.06x = 158,859,240.50
  5. Step 5: Solve for x
    x = 158,859,240.50/6,188.06
  6. Step 6: Final answer
    x = 25,671.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.