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Finding the Third Proportional to 45,264 and 50,367

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Solution

The third proportional to 45,264 and 50,367 is: 56,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,264 : 50,367 = 50,367 : x
  2. Step 2: Convert to fraction form
    45,264/50,367 = 50,367/x
  3. Step 3: Cross multiply
    45,264x = 50,367 × 50,367
  4. Step 4: Simplify right side
    45,264x = 2,536,834,689
  5. Step 5: Solve for x
    x = 2,536,834,689/45,264
  6. Step 6: Final answer
    x = 56,045.31

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.