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Finding the Third Proportional to 1,454.91 and 3,074.06

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Solution

The third proportional to 1,454.91 and 3,074.06 is: 6,495.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.91 : 3,074.06 = 3,074.06 : x
  2. Step 2: Convert to fraction form
    1,454.91/3,074.06 = 3,074.06/x
  3. Step 3: Cross multiply
    1,454.91x = 3,074.06 × 3,074.06
  4. Step 4: Simplify right side
    1,454.91x = 9,449,860.25
  5. Step 5: Solve for x
    x = 9,449,860.25/1,454.91
  6. Step 6: Final answer
    x = 6,495.17

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.