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Finding the Third Proportional to 1,396.30 and 3,059.33

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Solution

The third proportional to 1,396.30 and 3,059.33 is: 6,703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,396.30 : 3,059.33 = 3,059.33 : x
  2. Step 2: Convert to fraction form
    1,396.30/3,059.33 = 3,059.33/x
  3. Step 3: Cross multiply
    1,396.30x = 3,059.33 × 3,059.33
  4. Step 4: Simplify right side
    1,396.30x = 9,359,512.48
  5. Step 5: Solve for x
    x = 9,359,512.48/1,396.30
  6. Step 6: Final answer
    x = 6,703.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.