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Finding the Third Proportional to 2,051.58 and 3,074.20

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Solution

The third proportional to 2,051.58 and 3,074.20 is: 4,606.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.58 : 3,074.20 = 3,074.20 : x
  2. Step 2: Convert to fraction form
    2,051.58/3,074.20 = 3,074.20/x
  3. Step 3: Cross multiply
    2,051.58x = 3,074.20 × 3,074.20
  4. Step 4: Simplify right side
    2,051.58x = 9,450,724.85
  5. Step 5: Solve for x
    x = 9,450,724.85/2,051.58
  6. Step 6: Final answer
    x = 4,606.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.