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Finding the Third Proportional to 6,294.25 and 13,336.25

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Solution

The third proportional to 6,294.25 and 13,336.25 is: 28,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.25 : 13,336.25 = 13,336.25 : x
  2. Step 2: Convert to fraction form
    6,294.25/13,336.25 = 13,336.25/x
  3. Step 3: Cross multiply
    6,294.25x = 13,336.25 × 13,336.25
  4. Step 4: Simplify right side
    6,294.25x = 177,855,564.06
  5. Step 5: Solve for x
    x = 177,855,564.06/6,294.25
  6. Step 6: Final answer
    x = 28,256.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.