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Finding the Third Proportional to 1,441.63 and 3,104.30

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Solution

The third proportional to 1,441.63 and 3,104.30 is: 6,684.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,441.63 : 3,104.30 = 3,104.30 : x
  2. Step 2: Convert to fraction form
    1,441.63/3,104.30 = 3,104.30/x
  3. Step 3: Cross multiply
    1,441.63x = 3,104.30 × 3,104.30
  4. Step 4: Simplify right side
    1,441.63x = 9,636,686.37
  5. Step 5: Solve for x
    x = 9,636,686.37/1,441.63
  6. Step 6: Final answer
    x = 6,684.60

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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.