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Finding the Third Proportional to 31,192 and 43,929

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Solution

The third proportional to 31,192 and 43,929 is: 61,867.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,192 : 43,929 = 43,929 : x
  2. Step 2: Convert to fraction form
    31,192/43,929 = 43,929/x
  3. Step 3: Cross multiply
    31,192x = 43,929 × 43,929
  4. Step 4: Simplify right side
    31,192x = 1,929,757,041
  5. Step 5: Solve for x
    x = 1,929,757,041/31,192
  6. Step 6: Final answer
    x = 61,867.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.