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Finding the Third Proportional to 9,144 and 19,673

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Solution

The third proportional to 9,144 and 19,673 is: 42,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144 : 19,673 = 19,673 : x
  2. Step 2: Convert to fraction form
    9,144/19,673 = 19,673/x
  3. Step 3: Cross multiply
    9,144x = 19,673 × 19,673
  4. Step 4: Simplify right side
    9,144x = 387,026,929
  5. Step 5: Solve for x
    x = 387,026,929/9,144
  6. Step 6: Final answer
    x = 42,325.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.