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Finding the Third Proportional to 1,730.25 and 3,399.75

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Solution

The third proportional to 1,730.25 and 3,399.75 is: 6,680.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.25 : 3,399.75 = 3,399.75 : x
  2. Step 2: Convert to fraction form
    1,730.25/3,399.75 = 3,399.75/x
  3. Step 3: Cross multiply
    1,730.25x = 3,399.75 × 3,399.75
  4. Step 4: Simplify right side
    1,730.25x = 11,558,300.06
  5. Step 5: Solve for x
    x = 11,558,300.06/1,730.25
  6. Step 6: Final answer
    x = 6,680.13

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.