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Finding the Third Proportional to 32,992.50 and 67,137

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Solution

The third proportional to 32,992.50 and 67,137 is: 136,618.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,992.50 : 67,137 = 67,137 : x
  2. Step 2: Convert to fraction form
    32,992.50/67,137 = 67,137/x
  3. Step 3: Cross multiply
    32,992.50x = 67,137 × 67,137
  4. Step 4: Simplify right side
    32,992.50x = 4,507,376,769
  5. Step 5: Solve for x
    x = 4,507,376,769/32,992.50
  6. Step 6: Final answer
    x = 136,618.22

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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.