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Finding the Third Proportional to 12,038 and 16,399

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Solution

The third proportional to 12,038 and 16,399 is: 22,339.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,038 : 16,399 = 16,399 : x
  2. Step 2: Convert to fraction form
    12,038/16,399 = 16,399/x
  3. Step 3: Cross multiply
    12,038x = 16,399 × 16,399
  4. Step 4: Simplify right side
    12,038x = 268,927,201
  5. Step 5: Solve for x
    x = 268,927,201/12,038
  6. Step 6: Final answer
    x = 22,339.86

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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.