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Finding the Third Proportional to 50,930 and 74,833

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Solution

The third proportional to 50,930 and 74,833 is: 109,954.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,930 : 74,833 = 74,833 : x
  2. Step 2: Convert to fraction form
    50,930/74,833 = 74,833/x
  3. Step 3: Cross multiply
    50,930x = 74,833 × 74,833
  4. Step 4: Simplify right side
    50,930x = 5,599,977,889
  5. Step 5: Solve for x
    x = 5,599,977,889/50,930
  6. Step 6: Final answer
    x = 109,954.41

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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.