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Finding the Third Proportional to 10,211 and 16,383

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Solution

The third proportional to 10,211 and 16,383 is: 26,285.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,211 : 16,383 = 16,383 : x
  2. Step 2: Convert to fraction form
    10,211/16,383 = 16,383/x
  3. Step 3: Cross multiply
    10,211x = 16,383 × 16,383
  4. Step 4: Simplify right side
    10,211x = 268,402,689
  5. Step 5: Solve for x
    x = 268,402,689/10,211
  6. Step 6: Final answer
    x = 26,285.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.