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Finding the Third Proportional to 16,583 and 36,703

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Solution

The third proportional to 16,583 and 36,703 is: 81,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,583 : 36,703 = 36,703 : x
  2. Step 2: Convert to fraction form
    16,583/36,703 = 36,703/x
  3. Step 3: Cross multiply
    16,583x = 36,703 × 36,703
  4. Step 4: Simplify right side
    16,583x = 1,347,110,209
  5. Step 5: Solve for x
    x = 1,347,110,209/16,583
  6. Step 6: Final answer
    x = 81,234.41

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.