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Finding the Third Proportional to 20,012 and 43,127.50

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Solution

The third proportional to 20,012 and 43,127.50 is: 92,943.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,012 : 43,127.50 = 43,127.50 : x
  2. Step 2: Convert to fraction form
    20,012/43,127.50 = 43,127.50/x
  3. Step 3: Cross multiply
    20,012x = 43,127.50 × 43,127.50
  4. Step 4: Simplify right side
    20,012x = 1,859,981,256.25
  5. Step 5: Solve for x
    x = 1,859,981,256.25/20,012
  6. Step 6: Final answer
    x = 92,943.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.