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Finding the Third Proportional to 14,716.69 and 17,237.81

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Solution

The third proportional to 14,716.69 and 17,237.81 is: 20,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.69 : 17,237.81 = 17,237.81 : x
  2. Step 2: Convert to fraction form
    14,716.69/17,237.81 = 17,237.81/x
  3. Step 3: Cross multiply
    14,716.69x = 17,237.81 × 17,237.81
  4. Step 4: Simplify right side
    14,716.69x = 297,142,179.79
  5. Step 5: Solve for x
    x = 297,142,179.79/14,716.69
  6. Step 6: Final answer
    x = 20,190.83

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Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.