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Finding the Third Proportional to 20,836 and 44,930.50

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Solution

The third proportional to 20,836 and 44,930.50 is: 96,887.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,836 : 44,930.50 = 44,930.50 : x
  2. Step 2: Convert to fraction form
    20,836/44,930.50 = 44,930.50/x
  3. Step 3: Cross multiply
    20,836x = 44,930.50 × 44,930.50
  4. Step 4: Simplify right side
    20,836x = 2,018,749,830.25
  5. Step 5: Solve for x
    x = 2,018,749,830.25/20,836
  6. Step 6: Final answer
    x = 96,887.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.