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Finding the Third Proportional to 32,983.50 and 67,119

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Solution

The third proportional to 32,983.50 and 67,119 is: 136,582.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,983.50 : 67,119 = 67,119 : x
  2. Step 2: Convert to fraction form
    32,983.50/67,119 = 67,119/x
  3. Step 3: Cross multiply
    32,983.50x = 67,119 × 67,119
  4. Step 4: Simplify right side
    32,983.50x = 4,504,960,161
  5. Step 5: Solve for x
    x = 4,504,960,161/32,983.50
  6. Step 6: Final answer
    x = 136,582.24

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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.