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Finding the Third Proportional to 8,464 and 16,442

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Solution

The third proportional to 8,464 and 16,442 is: 31,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464 : 16,442 = 16,442 : x
  2. Step 2: Convert to fraction form
    8,464/16,442 = 16,442/x
  3. Step 3: Cross multiply
    8,464x = 16,442 × 16,442
  4. Step 4: Simplify right side
    8,464x = 270,339,364
  5. Step 5: Solve for x
    x = 270,339,364/8,464
  6. Step 6: Final answer
    x = 31,939.91

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.