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Finding the Third Proportional to 32,696 and 48,800

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Solution

The third proportional to 32,696 and 48,800 is: 72,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696 : 48,800 = 48,800 : x
  2. Step 2: Convert to fraction form
    32,696/48,800 = 48,800/x
  3. Step 3: Cross multiply
    32,696x = 48,800 × 48,800
  4. Step 4: Simplify right side
    32,696x = 2,381,440,000
  5. Step 5: Solve for x
    x = 2,381,440,000/32,696
  6. Step 6: Final answer
    x = 72,835.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.