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Finding the Third Proportional to 10,427 and 13,777

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Solution

The third proportional to 10,427 and 13,777 is: 18,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,427 : 13,777 = 13,777 : x
  2. Step 2: Convert to fraction form
    10,427/13,777 = 13,777/x
  3. Step 3: Cross multiply
    10,427x = 13,777 × 13,777
  4. Step 4: Simplify right side
    10,427x = 189,805,729
  5. Step 5: Solve for x
    x = 189,805,729/10,427
  6. Step 6: Final answer
    x = 18,203.29

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.