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Finding the Third Proportional to 49,818 and 74,021.25

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Solution

The third proportional to 49,818 and 74,021.25 is: 109,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,818 : 74,021.25 = 74,021.25 : x
  2. Step 2: Convert to fraction form
    49,818/74,021.25 = 74,021.25/x
  3. Step 3: Cross multiply
    49,818x = 74,021.25 × 74,021.25
  4. Step 4: Simplify right side
    49,818x = 5,479,145,451.56
  5. Step 5: Solve for x
    x = 5,479,145,451.56/49,818
  6. Step 6: Final answer
    x = 109,983.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.