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Finding the Third Proportional to 6,838 and 16,133

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Solution

The third proportional to 6,838 and 16,133 is: 38,062.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,838 : 16,133 = 16,133 : x
  2. Step 2: Convert to fraction form
    6,838/16,133 = 16,133/x
  3. Step 3: Cross multiply
    6,838x = 16,133 × 16,133
  4. Step 4: Simplify right side
    6,838x = 260,273,689
  5. Step 5: Solve for x
    x = 260,273,689/6,838
  6. Step 6: Final answer
    x = 38,062.84

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.