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Finding the Third Proportional to 50,872 and 74,836.75

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Solution

The third proportional to 50,872 and 74,836.75 is: 110,090.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,872 : 74,836.75 = 74,836.75 : x
  2. Step 2: Convert to fraction form
    50,872/74,836.75 = 74,836.75/x
  3. Step 3: Cross multiply
    50,872x = 74,836.75 × 74,836.75
  4. Step 4: Simplify right side
    50,872x = 5,600,539,150.56
  5. Step 5: Solve for x
    x = 5,600,539,150.56/50,872
  6. Step 6: Final answer
    x = 110,090.80

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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.