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Finding the Third Proportional to 14,056 and 16,104

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Solution

The third proportional to 14,056 and 16,104 is: 18,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,056 : 16,104 = 16,104 : x
  2. Step 2: Convert to fraction form
    14,056/16,104 = 16,104/x
  3. Step 3: Cross multiply
    14,056x = 16,104 × 16,104
  4. Step 4: Simplify right side
    14,056x = 259,338,816
  5. Step 5: Solve for x
    x = 259,338,816/14,056
  6. Step 6: Final answer
    x = 18,450.40

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.