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Finding the Third Proportional to 16,770.80 and 36,651.23

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Solution

The third proportional to 16,770.80 and 36,651.23 is: 80,098.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,770.80 : 36,651.23 = 36,651.23 : x
  2. Step 2: Convert to fraction form
    16,770.80/36,651.23 = 36,651.23/x
  3. Step 3: Cross multiply
    16,770.80x = 36,651.23 × 36,651.23
  4. Step 4: Simplify right side
    16,770.80x = 1,343,312,981.21
  5. Step 5: Solve for x
    x = 1,343,312,981.21/16,770.80
  6. Step 6: Final answer
    x = 80,098.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.