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Finding the Third Proportional to 39,604 and 82,484

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Solution

The third proportional to 39,604 and 82,484 is: 171,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,604 : 82,484 = 82,484 : x
  2. Step 2: Convert to fraction form
    39,604/82,484 = 82,484/x
  3. Step 3: Cross multiply
    39,604x = 82,484 × 82,484
  4. Step 4: Simplify right side
    39,604x = 6,803,610,256
  5. Step 5: Solve for x
    x = 6,803,610,256/39,604
  6. Step 6: Final answer
    x = 171,790.99

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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.