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Finding the Third Proportional to 16,046 and 36,442

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Solution

The third proportional to 16,046 and 36,442 is: 82,763.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,046 : 36,442 = 36,442 : x
  2. Step 2: Convert to fraction form
    16,046/36,442 = 36,442/x
  3. Step 3: Cross multiply
    16,046x = 36,442 × 36,442
  4. Step 4: Simplify right side
    16,046x = 1,328,019,364
  5. Step 5: Solve for x
    x = 1,328,019,364/16,046
  6. Step 6: Final answer
    x = 82,763.27

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.