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Finding the Third Proportional to 2,885.63 and 6,230.67

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Solution

The third proportional to 2,885.63 and 6,230.67 is: 13,453.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.63 : 6,230.67 = 6,230.67 : x
  2. Step 2: Convert to fraction form
    2,885.63/6,230.67 = 6,230.67/x
  3. Step 3: Cross multiply
    2,885.63x = 6,230.67 × 6,230.67
  4. Step 4: Simplify right side
    2,885.63x = 38,821,272.01
  5. Step 5: Solve for x
    x = 38,821,272.01/2,885.63
  6. Step 6: Final answer
    x = 13,453.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.