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Finding the Third Proportional to 10,994 and 16,367

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Solution

The third proportional to 10,994 and 16,367 is: 24,365.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,994 : 16,367 = 16,367 : x
  2. Step 2: Convert to fraction form
    10,994/16,367 = 16,367/x
  3. Step 3: Cross multiply
    10,994x = 16,367 × 16,367
  4. Step 4: Simplify right side
    10,994x = 267,878,689
  5. Step 5: Solve for x
    x = 267,878,689/10,994
  6. Step 6: Final answer
    x = 24,365.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.