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Finding the Third Proportional to 11,268 and 14,607

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Solution

The third proportional to 11,268 and 14,607 is: 18,935.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,268 : 14,607 = 14,607 : x
  2. Step 2: Convert to fraction form
    11,268/14,607 = 14,607/x
  3. Step 3: Cross multiply
    11,268x = 14,607 × 14,607
  4. Step 4: Simplify right side
    11,268x = 213,364,449
  5. Step 5: Solve for x
    x = 213,364,449/11,268
  6. Step 6: Final answer
    x = 18,935.43

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.