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Finding the Third Proportional to 9,796 and 14,062

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Solution

The third proportional to 9,796 and 14,062 is: 20,185.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796 : 14,062 = 14,062 : x
  2. Step 2: Convert to fraction form
    9,796/14,062 = 14,062/x
  3. Step 3: Cross multiply
    9,796x = 14,062 × 14,062
  4. Step 4: Simplify right side
    9,796x = 197,739,844
  5. Step 5: Solve for x
    x = 197,739,844/9,796
  6. Step 6: Final answer
    x = 20,185.77

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.