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Finding the Third Proportional to 28,672 and 44,285

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Solution

The third proportional to 28,672 and 44,285 is: 68,399.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,672 : 44,285 = 44,285 : x
  2. Step 2: Convert to fraction form
    28,672/44,285 = 44,285/x
  3. Step 3: Cross multiply
    28,672x = 44,285 × 44,285
  4. Step 4: Simplify right side
    28,672x = 1,961,161,225
  5. Step 5: Solve for x
    x = 1,961,161,225/28,672
  6. Step 6: Final answer
    x = 68,399.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.