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Finding the Third Proportional to 23,516 and 33,438

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Solution

The third proportional to 23,516 and 33,438 is: 47,546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,516 : 33,438 = 33,438 : x
  2. Step 2: Convert to fraction form
    23,516/33,438 = 33,438/x
  3. Step 3: Cross multiply
    23,516x = 33,438 × 33,438
  4. Step 4: Simplify right side
    23,516x = 1,118,099,844
  5. Step 5: Solve for x
    x = 1,118,099,844/23,516
  6. Step 6: Final answer
    x = 47,546.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.