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Finding the Third Proportional to 23,664 and 48,100

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Solution

The third proportional to 23,664 and 48,100 is: 97,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,664 : 48,100 = 48,100 : x
  2. Step 2: Convert to fraction form
    23,664/48,100 = 48,100/x
  3. Step 3: Cross multiply
    23,664x = 48,100 × 48,100
  4. Step 4: Simplify right side
    23,664x = 2,313,610,000
  5. Step 5: Solve for x
    x = 2,313,610,000/23,664
  6. Step 6: Final answer
    x = 97,769.19

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.