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Finding the Third Proportional to 23,512 and 48,650

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Solution

The third proportional to 23,512 and 48,650 is: 100,664.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,512 : 48,650 = 48,650 : x
  2. Step 2: Convert to fraction form
    23,512/48,650 = 48,650/x
  3. Step 3: Cross multiply
    23,512x = 48,650 × 48,650
  4. Step 4: Simplify right side
    23,512x = 2,366,822,500
  5. Step 5: Solve for x
    x = 2,366,822,500/23,512
  6. Step 6: Final answer
    x = 100,664.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.