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Finding the Third Proportional to 1,702.27 and 3,403.27

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Solution

The third proportional to 1,702.27 and 3,403.27 is: 6,804.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,702.27 : 3,403.27 = 3,403.27 : x
  2. Step 2: Convert to fraction form
    1,702.27/3,403.27 = 3,403.27/x
  3. Step 3: Cross multiply
    1,702.27x = 3,403.27 × 3,403.27
  4. Step 4: Simplify right side
    1,702.27x = 11,582,216.91
  5. Step 5: Solve for x
    x = 11,582,216.91/1,702.27
  6. Step 6: Final answer
    x = 6,804.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.