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Finding the Third Proportional to 1,927.55 and 2,755.90

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Solution

The third proportional to 1,927.55 and 2,755.90 is: 3,940.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,927.55 : 2,755.90 = 2,755.90 : x
  2. Step 2: Convert to fraction form
    1,927.55/2,755.90 = 2,755.90/x
  3. Step 3: Cross multiply
    1,927.55x = 2,755.90 × 2,755.90
  4. Step 4: Simplify right side
    1,927.55x = 7,594,976.20
  5. Step 5: Solve for x
    x = 7,594,976.20/1,927.55
  6. Step 6: Final answer
    x = 3,940.23

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.