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Finding the Third Proportional to 36,950 and 81,281.50

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Solution

The third proportional to 36,950 and 81,281.50 is: 178,800.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,950 : 81,281.50 = 81,281.50 : x
  2. Step 2: Convert to fraction form
    36,950/81,281.50 = 81,281.50/x
  3. Step 3: Cross multiply
    36,950x = 81,281.50 × 81,281.50
  4. Step 4: Simplify right side
    36,950x = 6,606,682,242.25
  5. Step 5: Solve for x
    x = 6,606,682,242.25/36,950
  6. Step 6: Final answer
    x = 178,800.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.