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Finding the Third Proportional to 49,984 and 76,704

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Solution

The third proportional to 49,984 and 76,704 is: 117,707.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,984 : 76,704 = 76,704 : x
  2. Step 2: Convert to fraction form
    49,984/76,704 = 76,704/x
  3. Step 3: Cross multiply
    49,984x = 76,704 × 76,704
  4. Step 4: Simplify right side
    49,984x = 5,883,503,616
  5. Step 5: Solve for x
    x = 5,883,503,616/49,984
  6. Step 6: Final answer
    x = 117,707.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.