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Finding the Third Proportional to 14,363 and 20,687

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Solution

The third proportional to 14,363 and 20,687 is: 29,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,363 : 20,687 = 20,687 : x
  2. Step 2: Convert to fraction form
    14,363/20,687 = 20,687/x
  3. Step 3: Cross multiply
    14,363x = 20,687 × 20,687
  4. Step 4: Simplify right side
    14,363x = 427,951,969
  5. Step 5: Solve for x
    x = 427,951,969/14,363
  6. Step 6: Final answer
    x = 29,795.44

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.