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Finding the Third Proportional to 51,832 and 74,917.50

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Solution

The third proportional to 51,832 and 74,917.50 is: 108,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,832 : 74,917.50 = 74,917.50 : x
  2. Step 2: Convert to fraction form
    51,832/74,917.50 = 74,917.50/x
  3. Step 3: Cross multiply
    51,832x = 74,917.50 × 74,917.50
  4. Step 4: Simplify right side
    51,832x = 5,612,631,806.25
  5. Step 5: Solve for x
    x = 5,612,631,806.25/51,832
  6. Step 6: Final answer
    x = 108,285.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.