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Finding the Third Proportional to 16,824 and 36,594

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Solution

The third proportional to 16,824 and 36,594 is: 79,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,824 : 36,594 = 36,594 : x
  2. Step 2: Convert to fraction form
    16,824/36,594 = 36,594/x
  3. Step 3: Cross multiply
    16,824x = 36,594 × 36,594
  4. Step 4: Simplify right side
    16,824x = 1,339,120,836
  5. Step 5: Solve for x
    x = 1,339,120,836/16,824
  6. Step 6: Final answer
    x = 79,595.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.