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Finding the Third Proportional to 20,112 and 45,655

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Solution

The third proportional to 20,112 and 45,655 is: 103,638.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 45,655 = 45,655 : x
  2. Step 2: Convert to fraction form
    20,112/45,655 = 45,655/x
  3. Step 3: Cross multiply
    20,112x = 45,655 × 45,655
  4. Step 4: Simplify right side
    20,112x = 2,084,379,025
  5. Step 5: Solve for x
    x = 2,084,379,025/20,112
  6. Step 6: Final answer
    x = 103,638.58

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.