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Finding the Third Proportional to 6,501.75 and 13,778.25

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Solution

The third proportional to 6,501.75 and 13,778.25 is: 29,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.75 : 13,778.25 = 13,778.25 : x
  2. Step 2: Convert to fraction form
    6,501.75/13,778.25 = 13,778.25/x
  3. Step 3: Cross multiply
    6,501.75x = 13,778.25 × 13,778.25
  4. Step 4: Simplify right side
    6,501.75x = 189,840,173.06
  5. Step 5: Solve for x
    x = 189,840,173.06/6,501.75
  6. Step 6: Final answer
    x = 29,198.32

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.