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Finding the Third Proportional to 1,459.69 and 3,396.09

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Solution

The third proportional to 1,459.69 and 3,396.09 is: 7,901.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.69 : 3,396.09 = 3,396.09 : x
  2. Step 2: Convert to fraction form
    1,459.69/3,396.09 = 3,396.09/x
  3. Step 3: Cross multiply
    1,459.69x = 3,396.09 × 3,396.09
  4. Step 4: Simplify right side
    1,459.69x = 11,533,452.76
  5. Step 5: Solve for x
    x = 11,533,452.76/1,459.69
  6. Step 6: Final answer
    x = 7,901.32

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.