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Finding the Third Proportional to 32,330 and 51,616

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Solution

The third proportional to 32,330 and 51,616 is: 82,406.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,330 : 51,616 = 51,616 : x
  2. Step 2: Convert to fraction form
    32,330/51,616 = 51,616/x
  3. Step 3: Cross multiply
    32,330x = 51,616 × 51,616
  4. Step 4: Simplify right side
    32,330x = 2,664,211,456
  5. Step 5: Solve for x
    x = 2,664,211,456/32,330
  6. Step 6: Final answer
    x = 82,406.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.