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Finding the Third Proportional to 32,943.50 and 49,325

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Solution

The third proportional to 32,943.50 and 49,325 is: 73,852.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,943.50 : 49,325 = 49,325 : x
  2. Step 2: Convert to fraction form
    32,943.50/49,325 = 49,325/x
  3. Step 3: Cross multiply
    32,943.50x = 49,325 × 49,325
  4. Step 4: Simplify right side
    32,943.50x = 2,432,955,625
  5. Step 5: Solve for x
    x = 2,432,955,625/32,943.50
  6. Step 6: Final answer
    x = 73,852.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.