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Finding the Third Proportional to 14,268 and 17,436

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Solution

The third proportional to 14,268 and 17,436 is: 21,307.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268 : 17,436 = 17,436 : x
  2. Step 2: Convert to fraction form
    14,268/17,436 = 17,436/x
  3. Step 3: Cross multiply
    14,268x = 17,436 × 17,436
  4. Step 4: Simplify right side
    14,268x = 304,014,096
  5. Step 5: Solve for x
    x = 304,014,096/14,268
  6. Step 6: Final answer
    x = 21,307.41

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.