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Finding the Third Proportional to 10,166 and 14,797

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Solution

The third proportional to 10,166 and 14,797 is: 21,537.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,166 : 14,797 = 14,797 : x
  2. Step 2: Convert to fraction form
    10,166/14,797 = 14,797/x
  3. Step 3: Cross multiply
    10,166x = 14,797 × 14,797
  4. Step 4: Simplify right side
    10,166x = 218,951,209
  5. Step 5: Solve for x
    x = 218,951,209/10,166
  6. Step 6: Final answer
    x = 21,537.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.