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Finding the Third Proportional to 20,112 and 23,760

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Solution

The third proportional to 20,112 and 23,760 is: 28,069.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,112 : 23,760 = 23,760 : x
  2. Step 2: Convert to fraction form
    20,112/23,760 = 23,760/x
  3. Step 3: Cross multiply
    20,112x = 23,760 × 23,760
  4. Step 4: Simplify right side
    20,112x = 564,537,600
  5. Step 5: Solve for x
    x = 564,537,600/20,112
  6. Step 6: Final answer
    x = 28,069.69

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.