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Finding the Third Proportional to 16,477 and 36,235

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Solution

The third proportional to 16,477 and 36,235 is: 79,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,477 : 36,235 = 36,235 : x
  2. Step 2: Convert to fraction form
    16,477/36,235 = 36,235/x
  3. Step 3: Cross multiply
    16,477x = 36,235 × 36,235
  4. Step 4: Simplify right side
    16,477x = 1,312,975,225
  5. Step 5: Solve for x
    x = 1,312,975,225/16,477
  6. Step 6: Final answer
    x = 79,685.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.