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Finding the Third Proportional to 14,192.72 and 29,296.69

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Solution

The third proportional to 14,192.72 and 29,296.69 is: 60,474.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,192.72 : 29,296.69 = 29,296.69 : x
  2. Step 2: Convert to fraction form
    14,192.72/29,296.69 = 29,296.69/x
  3. Step 3: Cross multiply
    14,192.72x = 29,296.69 × 29,296.69
  4. Step 4: Simplify right side
    14,192.72x = 858,295,898.47
  5. Step 5: Solve for x
    x = 858,295,898.47/14,192.72
  6. Step 6: Final answer
    x = 60,474.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.