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Finding the Third Proportional to 36,230.50 and 74,800

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Solution

The third proportional to 36,230.50 and 74,800 is: 154,429.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,230.50 : 74,800 = 74,800 : x
  2. Step 2: Convert to fraction form
    36,230.50/74,800 = 74,800/x
  3. Step 3: Cross multiply
    36,230.50x = 74,800 × 74,800
  4. Step 4: Simplify right side
    36,230.50x = 5,595,040,000
  5. Step 5: Solve for x
    x = 5,595,040,000/36,230.50
  6. Step 6: Final answer
    x = 154,429.00

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.