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Finding the Third Proportional to 18,704 and 28,760

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Solution

The third proportional to 18,704 and 28,760 is: 44,222.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,704 : 28,760 = 28,760 : x
  2. Step 2: Convert to fraction form
    18,704/28,760 = 28,760/x
  3. Step 3: Cross multiply
    18,704x = 28,760 × 28,760
  4. Step 4: Simplify right side
    18,704x = 827,137,600
  5. Step 5: Solve for x
    x = 827,137,600/18,704
  6. Step 6: Final answer
    x = 44,222.50

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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.