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Finding the Third Proportional to 29,976 and 43,178

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Solution

The third proportional to 29,976 and 43,178 is: 62,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,976 : 43,178 = 43,178 : x
  2. Step 2: Convert to fraction form
    29,976/43,178 = 43,178/x
  3. Step 3: Cross multiply
    29,976x = 43,178 × 43,178
  4. Step 4: Simplify right side
    29,976x = 1,864,339,684
  5. Step 5: Solve for x
    x = 1,864,339,684/29,976
  6. Step 6: Final answer
    x = 62,194.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.