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Finding the Third Proportional to 19,264 and 41,500

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Solution

The third proportional to 19,264 and 41,500 is: 89,402.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,264 : 41,500 = 41,500 : x
  2. Step 2: Convert to fraction form
    19,264/41,500 = 41,500/x
  3. Step 3: Cross multiply
    19,264x = 41,500 × 41,500
  4. Step 4: Simplify right side
    19,264x = 1,722,250,000
  5. Step 5: Solve for x
    x = 1,722,250,000/19,264
  6. Step 6: Final answer
    x = 89,402.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.