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Finding the Third Proportional to 2,706.75 and 6,265.69

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Solution

The third proportional to 2,706.75 and 6,265.69 is: 14,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.75 : 6,265.69 = 6,265.69 : x
  2. Step 2: Convert to fraction form
    2,706.75/6,265.69 = 6,265.69/x
  3. Step 3: Cross multiply
    2,706.75x = 6,265.69 × 6,265.69
  4. Step 4: Simplify right side
    2,706.75x = 39,258,839.85
  5. Step 5: Solve for x
    x = 39,258,839.85/2,706.75
  6. Step 6: Final answer
    x = 14,504.05

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.