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Finding the Third Proportional to 2,036.81 and 3,054.66

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Solution

The third proportional to 2,036.81 and 3,054.66 is: 4,581.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.81 : 3,054.66 = 3,054.66 : x
  2. Step 2: Convert to fraction form
    2,036.81/3,054.66 = 3,054.66/x
  3. Step 3: Cross multiply
    2,036.81x = 3,054.66 × 3,054.66
  4. Step 4: Simplify right side
    2,036.81x = 9,330,924.81
  5. Step 5: Solve for x
    x = 9,330,924.81/2,036.81
  6. Step 6: Final answer
    x = 4,581.14

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