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Finding the Third Proportional to 39,626 and 84,598

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Solution

The third proportional to 39,626 and 84,598 is: 180,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,626 : 84,598 = 84,598 : x
  2. Step 2: Convert to fraction form
    39,626/84,598 = 84,598/x
  3. Step 3: Cross multiply
    39,626x = 84,598 × 84,598
  4. Step 4: Simplify right side
    39,626x = 7,156,821,604
  5. Step 5: Solve for x
    x = 7,156,821,604/39,626
  6. Step 6: Final answer
    x = 180,609.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.