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Finding the Third Proportional to 12,026 and 16,383

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Solution

The third proportional to 12,026 and 16,383 is: 22,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026 : 16,383 = 16,383 : x
  2. Step 2: Convert to fraction form
    12,026/16,383 = 16,383/x
  3. Step 3: Cross multiply
    12,026x = 16,383 × 16,383
  4. Step 4: Simplify right side
    12,026x = 268,402,689
  5. Step 5: Solve for x
    x = 268,402,689/12,026
  6. Step 6: Final answer
    x = 22,318.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.