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Finding the Third Proportional to 1,743.47 and 3,754.41

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Solution

The third proportional to 1,743.47 and 3,754.41 is: 8,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.47 : 3,754.41 = 3,754.41 : x
  2. Step 2: Convert to fraction form
    1,743.47/3,754.41 = 3,754.41/x
  3. Step 3: Cross multiply
    1,743.47x = 3,754.41 × 3,754.41
  4. Step 4: Simplify right side
    1,743.47x = 14,095,566.29
  5. Step 5: Solve for x
    x = 14,095,566.29/1,743.47
  6. Step 6: Final answer
    x = 8,084.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.