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Finding the Third Proportional to 14,268 and 20,370

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Solution

The third proportional to 14,268 and 20,370 is: 29,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268 : 20,370 = 20,370 : x
  2. Step 2: Convert to fraction form
    14,268/20,370 = 20,370/x
  3. Step 3: Cross multiply
    14,268x = 20,370 × 20,370
  4. Step 4: Simplify right side
    14,268x = 414,936,900
  5. Step 5: Solve for x
    x = 414,936,900/14,268
  6. Step 6: Final answer
    x = 29,081.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.