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Finding the Third Proportional to 2,246.34 and 3,447.84

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Solution

The third proportional to 2,246.34 and 3,447.84 is: 5,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,246.34 : 3,447.84 = 3,447.84 : x
  2. Step 2: Convert to fraction form
    2,246.34/3,447.84 = 3,447.84/x
  3. Step 3: Cross multiply
    2,246.34x = 3,447.84 × 3,447.84
  4. Step 4: Simplify right side
    2,246.34x = 11,887,626.52
  5. Step 5: Solve for x
    x = 11,887,626.52/2,246.34
  6. Step 6: Final answer
    x = 5,291.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.