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Finding the Third Proportional to 32,616 and 48,800

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Solution

The third proportional to 32,616 and 48,800 is: 73,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,616 : 48,800 = 48,800 : x
  2. Step 2: Convert to fraction form
    32,616/48,800 = 48,800/x
  3. Step 3: Cross multiply
    32,616x = 48,800 × 48,800
  4. Step 4: Simplify right side
    32,616x = 2,381,440,000
  5. Step 5: Solve for x
    x = 2,381,440,000/32,616
  6. Step 6: Final answer
    x = 73,014.47

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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.