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Finding the Third Proportional to 4,202.63 and 5,890.88

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Solution

The third proportional to 4,202.63 and 5,890.88 is: 8,257.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.63 : 5,890.88 = 5,890.88 : x
  2. Step 2: Convert to fraction form
    4,202.63/5,890.88 = 5,890.88/x
  3. Step 3: Cross multiply
    4,202.63x = 5,890.88 × 5,890.88
  4. Step 4: Simplify right side
    4,202.63x = 34,702,408.27
  5. Step 5: Solve for x
    x = 34,702,408.27/4,202.63
  6. Step 6: Final answer
    x = 8,257.32

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.