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Finding the Third Proportional to 21,737 and 47,254

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Solution

The third proportional to 21,737 and 47,254 is: 102,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,737 : 47,254 = 47,254 : x
  2. Step 2: Convert to fraction form
    21,737/47,254 = 47,254/x
  3. Step 3: Cross multiply
    21,737x = 47,254 × 47,254
  4. Step 4: Simplify right side
    21,737x = 2,232,940,516
  5. Step 5: Solve for x
    x = 2,232,940,516/21,737
  6. Step 6: Final answer
    x = 102,725.33

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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.