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Finding the Third Proportional to 20,138 and 43,046

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Solution

The third proportional to 20,138 and 43,046 is: 92,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,138 : 43,046 = 43,046 : x
  2. Step 2: Convert to fraction form
    20,138/43,046 = 43,046/x
  3. Step 3: Cross multiply
    20,138x = 43,046 × 43,046
  4. Step 4: Simplify right side
    20,138x = 1,852,958,116
  5. Step 5: Solve for x
    x = 1,852,958,116/20,138
  6. Step 6: Final answer
    x = 92,013.02

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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.