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Finding the Third Proportional to 10,946.69 and 17,336.34

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Solution

The third proportional to 10,946.69 and 17,336.34 is: 27,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,946.69 : 17,336.34 = 17,336.34 : x
  2. Step 2: Convert to fraction form
    10,946.69/17,336.34 = 17,336.34/x
  3. Step 3: Cross multiply
    10,946.69x = 17,336.34 × 17,336.34
  4. Step 4: Simplify right side
    10,946.69x = 300,548,814.62
  5. Step 5: Solve for x
    x = 300,548,814.62/10,946.69
  6. Step 6: Final answer
    x = 27,455.69

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.