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Finding the Third Proportional to 39,653 and 82,595

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Solution

The third proportional to 39,653 and 82,595 is: 172,040.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,653 : 82,595 = 82,595 : x
  2. Step 2: Convert to fraction form
    39,653/82,595 = 82,595/x
  3. Step 3: Cross multiply
    39,653x = 82,595 × 82,595
  4. Step 4: Simplify right side
    39,653x = 6,821,934,025
  5. Step 5: Solve for x
    x = 6,821,934,025/39,653
  6. Step 6: Final answer
    x = 172,040.80

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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.