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Finding the Third Proportional to 1,074.23 and 1,449.35

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Solution

The third proportional to 1,074.23 and 1,449.35 is: 1,955.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.23 : 1,449.35 = 1,449.35 : x
  2. Step 2: Convert to fraction form
    1,074.23/1,449.35 = 1,449.35/x
  3. Step 3: Cross multiply
    1,074.23x = 1,449.35 × 1,449.35
  4. Step 4: Simplify right side
    1,074.23x = 2,100,619.95
  5. Step 5: Solve for x
    x = 2,100,619.95/1,074.23
  6. Step 6: Final answer
    x = 1,955.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.