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Finding the Third Proportional to 23,808 and 48,256

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Solution

The third proportional to 23,808 and 48,256 is: 97,809.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,808 : 48,256 = 48,256 : x
  2. Step 2: Convert to fraction form
    23,808/48,256 = 48,256/x
  3. Step 3: Cross multiply
    23,808x = 48,256 × 48,256
  4. Step 4: Simplify right side
    23,808x = 2,328,641,536
  5. Step 5: Solve for x
    x = 2,328,641,536/23,808
  6. Step 6: Final answer
    x = 97,809.20

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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.