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Finding the Third Proportional to 16,836 and 36,584

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Solution

The third proportional to 16,836 and 36,584 is: 79,495.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,836 : 36,584 = 36,584 : x
  2. Step 2: Convert to fraction form
    16,836/36,584 = 36,584/x
  3. Step 3: Cross multiply
    16,836x = 36,584 × 36,584
  4. Step 4: Simplify right side
    16,836x = 1,338,389,056
  5. Step 5: Solve for x
    x = 1,338,389,056/16,836
  6. Step 6: Final answer
    x = 79,495.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.