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Finding the Third Proportional to 20,287.69 and 44,146.69

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Solution

The third proportional to 20,287.69 and 44,146.69 is: 96,064.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,287.69 : 44,146.69 = 44,146.69 : x
  2. Step 2: Convert to fraction form
    20,287.69/44,146.69 = 44,146.69/x
  3. Step 3: Cross multiply
    20,287.69x = 44,146.69 × 44,146.69
  4. Step 4: Simplify right side
    20,287.69x = 1,948,930,017.22
  5. Step 5: Solve for x
    x = 1,948,930,017.22/20,287.69
  6. Step 6: Final answer
    x = 96,064.67

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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.