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Finding the Third Proportional to 1,246.22 and 1,914.05

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Solution

The third proportional to 1,246.22 and 1,914.05 is: 2,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.22 : 1,914.05 = 1,914.05 : x
  2. Step 2: Convert to fraction form
    1,246.22/1,914.05 = 1,914.05/x
  3. Step 3: Cross multiply
    1,246.22x = 1,914.05 × 1,914.05
  4. Step 4: Simplify right side
    1,246.22x = 3,663,575.44
  5. Step 5: Solve for x
    x = 3,663,575.44/1,246.22
  6. Step 6: Final answer
    x = 2,939.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.