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Finding the Third Proportional to 6,212.95 and 13,468.78

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Solution

The third proportional to 6,212.95 and 13,468.78 is: 29,198.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.95 : 13,468.78 = 13,468.78 : x
  2. Step 2: Convert to fraction form
    6,212.95/13,468.78 = 13,468.78/x
  3. Step 3: Cross multiply
    6,212.95x = 13,468.78 × 13,468.78
  4. Step 4: Simplify right side
    6,212.95x = 181,408,068.36
  5. Step 5: Solve for x
    x = 181,408,068.36/6,212.95
  6. Step 6: Final answer
    x = 29,198.36

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.