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Finding the Third Proportional to 1,599.14 and 3,441.28

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Solution

The third proportional to 1,599.14 and 3,441.28 is: 7,405.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,599.14 : 3,441.28 = 3,441.28 : x
  2. Step 2: Convert to fraction form
    1,599.14/3,441.28 = 3,441.28/x
  3. Step 3: Cross multiply
    1,599.14x = 3,441.28 × 3,441.28
  4. Step 4: Simplify right side
    1,599.14x = 11,842,416.64
  5. Step 5: Solve for x
    x = 11,842,416.64/1,599.14
  6. Step 6: Final answer
    x = 7,405.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.