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Finding the Third Proportional to 39,604 and 82,468

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Solution

The third proportional to 39,604 and 82,468 is: 171,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,604 : 82,468 = 82,468 : x
  2. Step 2: Convert to fraction form
    39,604/82,468 = 82,468/x
  3. Step 3: Cross multiply
    39,604x = 82,468 × 82,468
  4. Step 4: Simplify right side
    39,604x = 6,800,971,024
  5. Step 5: Solve for x
    x = 6,800,971,024/39,604
  6. Step 6: Final answer
    x = 171,724.35

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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.