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Finding the Third Proportional to 39,024 and 84,176

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Solution

The third proportional to 39,024 and 84,176 is: 181,570.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,024 : 84,176 = 84,176 : x
  2. Step 2: Convert to fraction form
    39,024/84,176 = 84,176/x
  3. Step 3: Cross multiply
    39,024x = 84,176 × 84,176
  4. Step 4: Simplify right side
    39,024x = 7,085,598,976
  5. Step 5: Solve for x
    x = 7,085,598,976/39,024
  6. Step 6: Final answer
    x = 181,570.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.