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Finding the Third Proportional to 36,455.25 and 74,205.75

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Solution

The third proportional to 36,455.25 and 74,205.75 is: 151,048.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,455.25 : 74,205.75 = 74,205.75 : x
  2. Step 2: Convert to fraction form
    36,455.25/74,205.75 = 74,205.75/x
  3. Step 3: Cross multiply
    36,455.25x = 74,205.75 × 74,205.75
  4. Step 4: Simplify right side
    36,455.25x = 5,506,493,333.06
  5. Step 5: Solve for x
    x = 5,506,493,333.06/36,455.25
  6. Step 6: Final answer
    x = 151,048.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.