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Finding the Third Proportional to 14,174.16 and 29,809.69

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Solution

The third proportional to 14,174.16 and 29,809.69 is: 62,692.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.16 : 29,809.69 = 29,809.69 : x
  2. Step 2: Convert to fraction form
    14,174.16/29,809.69 = 29,809.69/x
  3. Step 3: Cross multiply
    14,174.16x = 29,809.69 × 29,809.69
  4. Step 4: Simplify right side
    14,174.16x = 888,617,468.85
  5. Step 5: Solve for x
    x = 888,617,468.85/14,174.16
  6. Step 6: Final answer
    x = 62,692.79

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.