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Finding the Third Proportional to 4,421.25 and 8,964

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Solution

The third proportional to 4,421.25 and 8,964 is: 18,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,421.25 : 8,964 = 8,964 : x
  2. Step 2: Convert to fraction form
    4,421.25/8,964 = 8,964/x
  3. Step 3: Cross multiply
    4,421.25x = 8,964 × 8,964
  4. Step 4: Simplify right side
    4,421.25x = 80,353,296
  5. Step 5: Solve for x
    x = 80,353,296/4,421.25
  6. Step 6: Final answer
    x = 18,174.34

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.