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Finding the Third Proportional to 1,766.26 and 3,839.00

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Solution

The third proportional to 1,766.26 and 3,839.00 is: 8,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.26 : 3,839.00 = 3,839.00 : x
  2. Step 2: Convert to fraction form
    1,766.26/3,839.00 = 3,839.00/x
  3. Step 3: Cross multiply
    1,766.26x = 3,839.00 × 3,839.00
  4. Step 4: Simplify right side
    1,766.26x = 14,737,894.76
  5. Step 5: Solve for x
    x = 14,737,894.76/1,766.26
  6. Step 6: Final answer
    x = 8,344.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.