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Finding the Third Proportional to 39,632 and 84,610

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Solution

The third proportional to 39,632 and 84,610 is: 180,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,632 : 84,610 = 84,610 : x
  2. Step 2: Convert to fraction form
    39,632/84,610 = 84,610/x
  3. Step 3: Cross multiply
    39,632x = 84,610 × 84,610
  4. Step 4: Simplify right side
    39,632x = 7,158,852,100
  5. Step 5: Solve for x
    x = 7,158,852,100/39,632
  6. Step 6: Final answer
    x = 180,633.13

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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.