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Finding the Third Proportional to 11,214 and 14,859

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Solution

The third proportional to 11,214 and 14,859 is: 19,688.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214 : 14,859 = 14,859 : x
  2. Step 2: Convert to fraction form
    11,214/14,859 = 14,859/x
  3. Step 3: Cross multiply
    11,214x = 14,859 × 14,859
  4. Step 4: Simplify right side
    11,214x = 220,789,881
  5. Step 5: Solve for x
    x = 220,789,881/11,214
  6. Step 6: Final answer
    x = 19,688.77

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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.