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Finding the Third Proportional to 20,809.96 and 44,945.09

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Solution

The third proportional to 20,809.96 and 44,945.09 is: 97,071.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,809.96 : 44,945.09 = 44,945.09 : x
  2. Step 2: Convert to fraction form
    20,809.96/44,945.09 = 44,945.09/x
  3. Step 3: Cross multiply
    20,809.96x = 44,945.09 × 44,945.09
  4. Step 4: Simplify right side
    20,809.96x = 2,020,061,342.47
  5. Step 5: Solve for x
    x = 2,020,061,342.47/20,809.96
  6. Step 6: Final answer
    x = 97,071.85

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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.