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Finding the Third Proportional to 39,600 and 82,465

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Solution

The third proportional to 39,600 and 82,465 is: 171,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,600 : 82,465 = 82,465 : x
  2. Step 2: Convert to fraction form
    39,600/82,465 = 82,465/x
  3. Step 3: Cross multiply
    39,600x = 82,465 × 82,465
  4. Step 4: Simplify right side
    39,600x = 6,800,476,225
  5. Step 5: Solve for x
    x = 6,800,476,225/39,600
  6. Step 6: Final answer
    x = 171,729.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.