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Finding the Third Proportional to 29,972 and 43,176

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Solution

The third proportional to 29,972 and 43,176 is: 62,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,972 : 43,176 = 43,176 : x
  2. Step 2: Convert to fraction form
    29,972/43,176 = 43,176/x
  3. Step 3: Cross multiply
    29,972x = 43,176 × 43,176
  4. Step 4: Simplify right side
    29,972x = 1,864,166,976
  5. Step 5: Solve for x
    x = 1,864,166,976/29,972
  6. Step 6: Final answer
    x = 62,196.95

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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.