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Finding the Third Proportional to 23,335 and 50,635

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Solution

The third proportional to 23,335 and 50,635 is: 109,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,335 : 50,635 = 50,635 : x
  2. Step 2: Convert to fraction form
    23,335/50,635 = 50,635/x
  3. Step 3: Cross multiply
    23,335x = 50,635 × 50,635
  4. Step 4: Simplify right side
    23,335x = 2,563,903,225
  5. Step 5: Solve for x
    x = 2,563,903,225/23,335
  6. Step 6: Final answer
    x = 109,873.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.