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Finding the Third Proportional to 32,980.50 and 67,005

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Solution

The third proportional to 32,980.50 and 67,005 is: 136,131.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,980.50 : 67,005 = 67,005 : x
  2. Step 2: Convert to fraction form
    32,980.50/67,005 = 67,005/x
  3. Step 3: Cross multiply
    32,980.50x = 67,005 × 67,005
  4. Step 4: Simplify right side
    32,980.50x = 4,489,670,025
  5. Step 5: Solve for x
    x = 4,489,670,025/32,980.50
  6. Step 6: Final answer
    x = 136,131.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.