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Finding the Third Proportional to 20,722.50 and 48,458.25

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Solution

The third proportional to 20,722.50 and 48,458.25 is: 113,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,722.50 : 48,458.25 = 48,458.25 : x
  2. Step 2: Convert to fraction form
    20,722.50/48,458.25 = 48,458.25/x
  3. Step 3: Cross multiply
    20,722.50x = 48,458.25 × 48,458.25
  4. Step 4: Simplify right side
    20,722.50x = 2,348,201,993.06
  5. Step 5: Solve for x
    x = 2,348,201,993.06/20,722.50
  6. Step 6: Final answer
    x = 113,316.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.