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Finding the Third Proportional to 50,604.75 and 74,265

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Solution

The third proportional to 50,604.75 and 74,265 is: 108,987.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,604.75 : 74,265 = 74,265 : x
  2. Step 2: Convert to fraction form
    50,604.75/74,265 = 74,265/x
  3. Step 3: Cross multiply
    50,604.75x = 74,265 × 74,265
  4. Step 4: Simplify right side
    50,604.75x = 5,515,290,225
  5. Step 5: Solve for x
    x = 5,515,290,225/50,604.75
  6. Step 6: Final answer
    x = 108,987.60

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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.