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Finding the Third Proportional to 20,143 and 43,202.50

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Solution

The third proportional to 20,143 and 43,202.50 is: 92,660.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143 : 43,202.50 = 43,202.50 : x
  2. Step 2: Convert to fraction form
    20,143/43,202.50 = 43,202.50/x
  3. Step 3: Cross multiply
    20,143x = 43,202.50 × 43,202.50
  4. Step 4: Simplify right side
    20,143x = 1,866,456,006.25
  5. Step 5: Solve for x
    x = 1,866,456,006.25/20,143
  6. Step 6: Final answer
    x = 92,660.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.