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Finding the Third Proportional to 32,937.50 and 73,244

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Solution

The third proportional to 32,937.50 and 73,244 is: 162,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,937.50 : 73,244 = 73,244 : x
  2. Step 2: Convert to fraction form
    32,937.50/73,244 = 73,244/x
  3. Step 3: Cross multiply
    32,937.50x = 73,244 × 73,244
  4. Step 4: Simplify right side
    32,937.50x = 5,364,683,536
  5. Step 5: Solve for x
    x = 5,364,683,536/32,937.50
  6. Step 6: Final answer
    x = 162,874.64

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.