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Finding the Third Proportional to 6,940.69 and 14,959.69

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Solution

The third proportional to 6,940.69 and 14,959.69 is: 32,243.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.69 : 14,959.69 = 14,959.69 : x
  2. Step 2: Convert to fraction form
    6,940.69/14,959.69 = 14,959.69/x
  3. Step 3: Cross multiply
    6,940.69x = 14,959.69 × 14,959.69
  4. Step 4: Simplify right side
    6,940.69x = 223,792,250.10
  5. Step 5: Solve for x
    x = 223,792,250.10/6,940.69
  6. Step 6: Final answer
    x = 32,243.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.