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Finding the Third Proportional to 39,345 and 83,976

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Solution

The third proportional to 39,345 and 83,976 is: 179,234.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,345 : 83,976 = 83,976 : x
  2. Step 2: Convert to fraction form
    39,345/83,976 = 83,976/x
  3. Step 3: Cross multiply
    39,345x = 83,976 × 83,976
  4. Step 4: Simplify right side
    39,345x = 7,051,968,576
  5. Step 5: Solve for x
    x = 7,051,968,576/39,345
  6. Step 6: Final answer
    x = 179,234.17

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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.