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Finding the Third Proportional to 9,268 and 13,946

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Solution

The third proportional to 9,268 and 13,946 is: 20,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268 : 13,946 = 13,946 : x
  2. Step 2: Convert to fraction form
    9,268/13,946 = 13,946/x
  3. Step 3: Cross multiply
    9,268x = 13,946 × 13,946
  4. Step 4: Simplify right side
    9,268x = 194,490,916
  5. Step 5: Solve for x
    x = 194,490,916/9,268
  6. Step 6: Final answer
    x = 20,985.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.