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Finding the Third Proportional to 49,813 and 74,773

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Solution

The third proportional to 49,813 and 74,773 is: 112,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,813 : 74,773 = 74,773 : x
  2. Step 2: Convert to fraction form
    49,813/74,773 = 74,773/x
  3. Step 3: Cross multiply
    49,813x = 74,773 × 74,773
  4. Step 4: Simplify right side
    49,813x = 5,591,001,529
  5. Step 5: Solve for x
    x = 5,591,001,529/49,813
  6. Step 6: Final answer
    x = 112,239.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.