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Finding the Third Proportional to 20,696 and 44,848

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Solution

The third proportional to 20,696 and 44,848 is: 97,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,696 : 44,848 = 44,848 : x
  2. Step 2: Convert to fraction form
    20,696/44,848 = 44,848/x
  3. Step 3: Cross multiply
    20,696x = 44,848 × 44,848
  4. Step 4: Simplify right side
    20,696x = 2,011,343,104
  5. Step 5: Solve for x
    x = 2,011,343,104/20,696
  6. Step 6: Final answer
    x = 97,185.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.