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Finding the Third Proportional to 11,230 and 14,964

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Solution

The third proportional to 11,230 and 14,964 is: 19,939.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,230 : 14,964 = 14,964 : x
  2. Step 2: Convert to fraction form
    11,230/14,964 = 14,964/x
  3. Step 3: Cross multiply
    11,230x = 14,964 × 14,964
  4. Step 4: Simplify right side
    11,230x = 223,921,296
  5. Step 5: Solve for x
    x = 223,921,296/11,230
  6. Step 6: Final answer
    x = 19,939.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.