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Finding the Third Proportional to 20,980 and 45,848

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Solution

The third proportional to 20,980 and 45,848 is: 100,192.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980 : 45,848 = 45,848 : x
  2. Step 2: Convert to fraction form
    20,980/45,848 = 45,848/x
  3. Step 3: Cross multiply
    20,980x = 45,848 × 45,848
  4. Step 4: Simplify right side
    20,980x = 2,102,039,104
  5. Step 5: Solve for x
    x = 2,102,039,104/20,980
  6. Step 6: Final answer
    x = 100,192.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.