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Finding the Third Proportional to 19,646 and 30,063

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Solution

The third proportional to 19,646 and 30,063 is: 46,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,646 : 30,063 = 30,063 : x
  2. Step 2: Convert to fraction form
    19,646/30,063 = 30,063/x
  3. Step 3: Cross multiply
    19,646x = 30,063 × 30,063
  4. Step 4: Simplify right side
    19,646x = 903,783,969
  5. Step 5: Solve for x
    x = 903,783,969/19,646
  6. Step 6: Final answer
    x = 46,003.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.