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Finding the Third Proportional to 6,845.34 and 14,014.69

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Solution

The third proportional to 6,845.34 and 14,014.69 is: 28,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.34 : 14,014.69 = 14,014.69 : x
  2. Step 2: Convert to fraction form
    6,845.34/14,014.69 = 14,014.69/x
  3. Step 3: Cross multiply
    6,845.34x = 14,014.69 × 14,014.69
  4. Step 4: Simplify right side
    6,845.34x = 196,411,465.72
  5. Step 5: Solve for x
    x = 196,411,465.72/6,845.34
  6. Step 6: Final answer
    x = 28,692.71

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