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Finding the Third Proportional to 32,170.50 and 48,208.50

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Solution

The third proportional to 32,170.50 and 48,208.50 is: 72,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170.50 : 48,208.50 = 48,208.50 : x
  2. Step 2: Convert to fraction form
    32,170.50/48,208.50 = 48,208.50/x
  3. Step 3: Cross multiply
    32,170.50x = 48,208.50 × 48,208.50
  4. Step 4: Simplify right side
    32,170.50x = 2,324,059,472.25
  5. Step 5: Solve for x
    x = 2,324,059,472.25/32,170.50
  6. Step 6: Final answer
    x = 72,241.94

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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.