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Finding the Third Proportional to 4,234.01 and 6,461.44

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Solution

The third proportional to 4,234.01 and 6,461.44 is: 9,860.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.01 : 6,461.44 = 6,461.44 : x
  2. Step 2: Convert to fraction form
    4,234.01/6,461.44 = 6,461.44/x
  3. Step 3: Cross multiply
    4,234.01x = 6,461.44 × 6,461.44
  4. Step 4: Simplify right side
    4,234.01x = 41,750,174.57
  5. Step 5: Solve for x
    x = 41,750,174.57/4,234.01
  6. Step 6: Final answer
    x = 9,860.67

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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.