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Finding the Third Proportional to 10,076 and 14,266

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Solution

The third proportional to 10,076 and 14,266 is: 20,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,076 : 14,266 = 14,266 : x
  2. Step 2: Convert to fraction form
    10,076/14,266 = 14,266/x
  3. Step 3: Cross multiply
    10,076x = 14,266 × 14,266
  4. Step 4: Simplify right side
    10,076x = 203,518,756
  5. Step 5: Solve for x
    x = 203,518,756/10,076
  6. Step 6: Final answer
    x = 20,198.37

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.