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Finding the Third Proportional to 7,831 and 16,430

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Solution

The third proportional to 7,831 and 16,430 is: 34,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831 : 16,430 = 16,430 : x
  2. Step 2: Convert to fraction form
    7,831/16,430 = 16,430/x
  3. Step 3: Cross multiply
    7,831x = 16,430 × 16,430
  4. Step 4: Simplify right side
    7,831x = 269,944,900
  5. Step 5: Solve for x
    x = 269,944,900/7,831
  6. Step 6: Final answer
    x = 34,471.32

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.