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Finding the Third Proportional to 1,677.94 and 3,435.19

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Solution

The third proportional to 1,677.94 and 3,435.19 is: 7,032.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,677.94 : 3,435.19 = 3,435.19 : x
  2. Step 2: Convert to fraction form
    1,677.94/3,435.19 = 3,435.19/x
  3. Step 3: Cross multiply
    1,677.94x = 3,435.19 × 3,435.19
  4. Step 4: Simplify right side
    1,677.94x = 11,800,513.16
  5. Step 5: Solve for x
    x = 11,800,513.16/1,677.94
  6. Step 6: Final answer
    x = 7,032.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.