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Finding the Third Proportional to 1,814.06 and 4,284.56

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Solution

The third proportional to 1,814.06 and 4,284.56 is: 10,119.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.06 : 4,284.56 = 4,284.56 : x
  2. Step 2: Convert to fraction form
    1,814.06/4,284.56 = 4,284.56/x
  3. Step 3: Cross multiply
    1,814.06x = 4,284.56 × 4,284.56
  4. Step 4: Simplify right side
    1,814.06x = 18,357,475.82
  5. Step 5: Solve for x
    x = 18,357,475.82/1,814.06
  6. Step 6: Final answer
    x = 10,119.54

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.