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Finding the Third Proportional to 20,884.50 and 45,923

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Solution

The third proportional to 20,884.50 and 45,923 is: 100,980.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884.50 : 45,923 = 45,923 : x
  2. Step 2: Convert to fraction form
    20,884.50/45,923 = 45,923/x
  3. Step 3: Cross multiply
    20,884.50x = 45,923 × 45,923
  4. Step 4: Simplify right side
    20,884.50x = 2,108,921,929
  5. Step 5: Solve for x
    x = 2,108,921,929/20,884.50
  6. Step 6: Final answer
    x = 100,980.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.