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Finding the Third Proportional to 1,400.63 and 3,074.63

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Solution

The third proportional to 1,400.63 and 3,074.63 is: 6,749.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.63 : 3,074.63 = 3,074.63 : x
  2. Step 2: Convert to fraction form
    1,400.63/3,074.63 = 3,074.63/x
  3. Step 3: Cross multiply
    1,400.63x = 3,074.63 × 3,074.63
  4. Step 4: Simplify right side
    1,400.63x = 9,453,318.89
  5. Step 5: Solve for x
    x = 9,453,318.89/1,400.63
  6. Step 6: Final answer
    x = 6,749.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.