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Finding the Third Proportional to 18,407 and 28,704

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Solution

The third proportional to 18,407 and 28,704 is: 44,761.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,407 : 28,704 = 28,704 : x
  2. Step 2: Convert to fraction form
    18,407/28,704 = 28,704/x
  3. Step 3: Cross multiply
    18,407x = 28,704 × 28,704
  4. Step 4: Simplify right side
    18,407x = 823,919,616
  5. Step 5: Solve for x
    x = 823,919,616/18,407
  6. Step 6: Final answer
    x = 44,761.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.