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Finding the Third Proportional to 14,311.69 and 29,013.19

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Solution

The third proportional to 14,311.69 and 29,013.19 is: 58,816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.69 : 29,013.19 = 29,013.19 : x
  2. Step 2: Convert to fraction form
    14,311.69/29,013.19 = 29,013.19/x
  3. Step 3: Cross multiply
    14,311.69x = 29,013.19 × 29,013.19
  4. Step 4: Simplify right side
    14,311.69x = 841,765,048.91
  5. Step 5: Solve for x
    x = 841,765,048.91/14,311.69
  6. Step 6: Final answer
    x = 58,816.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.