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Finding the Third Proportional to 16,512 and 36,033

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Solution

The third proportional to 16,512 and 36,033 is: 78,632.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,512 : 36,033 = 36,033 : x
  2. Step 2: Convert to fraction form
    16,512/36,033 = 36,033/x
  3. Step 3: Cross multiply
    16,512x = 36,033 × 36,033
  4. Step 4: Simplify right side
    16,512x = 1,298,377,089
  5. Step 5: Solve for x
    x = 1,298,377,089/16,512
  6. Step 6: Final answer
    x = 78,632.33

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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.