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Finding the Third Proportional to 14,115.94 and 30,692.16

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Solution

The third proportional to 14,115.94 and 30,692.16 is: 66,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.94 : 30,692.16 = 30,692.16 : x
  2. Step 2: Convert to fraction form
    14,115.94/30,692.16 = 30,692.16/x
  3. Step 3: Cross multiply
    14,115.94x = 30,692.16 × 30,692.16
  4. Step 4: Simplify right side
    14,115.94x = 942,008,455.27
  5. Step 5: Solve for x
    x = 942,008,455.27/14,115.94
  6. Step 6: Final answer
    x = 66,733.68

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Why These Related Problems?

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