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Finding the Third Proportional to 20,187 and 46,912.50

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Solution

The third proportional to 20,187 and 46,912.50 is: 109,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,187 : 46,912.50 = 46,912.50 : x
  2. Step 2: Convert to fraction form
    20,187/46,912.50 = 46,912.50/x
  3. Step 3: Cross multiply
    20,187x = 46,912.50 × 46,912.50
  4. Step 4: Simplify right side
    20,187x = 2,200,782,656.25
  5. Step 5: Solve for x
    x = 2,200,782,656.25/20,187
  6. Step 6: Final answer
    x = 109,019.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.