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Finding the Third Proportional to 20,298.09 and 44,286.75

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Solution

The third proportional to 20,298.09 and 44,286.75 is: 96,625.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.09 : 44,286.75 = 44,286.75 : x
  2. Step 2: Convert to fraction form
    20,298.09/44,286.75 = 44,286.75/x
  3. Step 3: Cross multiply
    20,298.09x = 44,286.75 × 44,286.75
  4. Step 4: Simplify right side
    20,298.09x = 1,961,316,225.56
  5. Step 5: Solve for x
    x = 1,961,316,225.56/20,298.09
  6. Step 6: Final answer
    x = 96,625.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.