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Finding the Third Proportional to 16,854 and 36,693

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Solution

The third proportional to 16,854 and 36,693 is: 79,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,854 : 36,693 = 36,693 : x
  2. Step 2: Convert to fraction form
    16,854/36,693 = 36,693/x
  3. Step 3: Cross multiply
    16,854x = 36,693 × 36,693
  4. Step 4: Simplify right side
    16,854x = 1,346,376,249
  5. Step 5: Solve for x
    x = 1,346,376,249/16,854
  6. Step 6: Final answer
    x = 79,884.67

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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.