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Finding the Third Proportional to 20,140.25 and 43,197.50

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Solution

The third proportional to 20,140.25 and 43,197.50 is: 92,651.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.25 : 43,197.50 = 43,197.50 : x
  2. Step 2: Convert to fraction form
    20,140.25/43,197.50 = 43,197.50/x
  3. Step 3: Cross multiply
    20,140.25x = 43,197.50 × 43,197.50
  4. Step 4: Simplify right side
    20,140.25x = 1,866,024,006.25
  5. Step 5: Solve for x
    x = 1,866,024,006.25/20,140.25
  6. Step 6: Final answer
    x = 92,651.48

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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.