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Finding the Third Proportional to 6,054.75 and 13,206.38

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Solution

The third proportional to 6,054.75 and 13,206.38 is: 28,805.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.75 : 13,206.38 = 13,206.38 : x
  2. Step 2: Convert to fraction form
    6,054.75/13,206.38 = 13,206.38/x
  3. Step 3: Cross multiply
    6,054.75x = 13,206.38 × 13,206.38
  4. Step 4: Simplify right side
    6,054.75x = 174,408,340.64
  5. Step 5: Solve for x
    x = 174,408,340.64/6,054.75
  6. Step 6: Final answer
    x = 28,805.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.