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Finding the Third Proportional to 2,244.21 and 3,585.26

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Solution

The third proportional to 2,244.21 and 3,585.26 is: 5,727.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,244.21 : 3,585.26 = 3,585.26 : x
  2. Step 2: Convert to fraction form
    2,244.21/3,585.26 = 3,585.26/x
  3. Step 3: Cross multiply
    2,244.21x = 3,585.26 × 3,585.26
  4. Step 4: Simplify right side
    2,244.21x = 12,854,062.22
  5. Step 5: Solve for x
    x = 12,854,062.22/2,244.21
  6. Step 6: Final answer
    x = 5,727.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.