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Finding the Third Proportional to 14,186 and 21,288

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Solution

The third proportional to 14,186 and 21,288 is: 31,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186 : 21,288 = 21,288 : x
  2. Step 2: Convert to fraction form
    14,186/21,288 = 21,288/x
  3. Step 3: Cross multiply
    14,186x = 21,288 × 21,288
  4. Step 4: Simplify right side
    14,186x = 453,178,944
  5. Step 5: Solve for x
    x = 453,178,944/14,186
  6. Step 6: Final answer
    x = 31,945.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.