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Finding the Third Proportional to 20,202 and 43,152

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Solution

The third proportional to 20,202 and 43,152 is: 92,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202 : 43,152 = 43,152 : x
  2. Step 2: Convert to fraction form
    20,202/43,152 = 43,152/x
  3. Step 3: Cross multiply
    20,202x = 43,152 × 43,152
  4. Step 4: Simplify right side
    20,202x = 1,862,095,104
  5. Step 5: Solve for x
    x = 1,862,095,104/20,202
  6. Step 6: Final answer
    x = 92,173.80

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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.