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Finding the Third Proportional to 50,898 and 74,823

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Solution

The third proportional to 50,898 and 74,823 is: 109,994.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,898 : 74,823 = 74,823 : x
  2. Step 2: Convert to fraction form
    50,898/74,823 = 74,823/x
  3. Step 3: Cross multiply
    50,898x = 74,823 × 74,823
  4. Step 4: Simplify right side
    50,898x = 5,598,481,329
  5. Step 5: Solve for x
    x = 5,598,481,329/50,898
  6. Step 6: Final answer
    x = 109,994.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.