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Finding the Third Proportional to 19,831 and 42,929

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Solution

The third proportional to 19,831 and 42,929 is: 92,930.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,831 : 42,929 = 42,929 : x
  2. Step 2: Convert to fraction form
    19,831/42,929 = 42,929/x
  3. Step 3: Cross multiply
    19,831x = 42,929 × 42,929
  4. Step 4: Simplify right side
    19,831x = 1,842,899,041
  5. Step 5: Solve for x
    x = 1,842,899,041/19,831
  6. Step 6: Final answer
    x = 92,930.21

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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.