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Finding the Third Proportional to 16,680.09 and 36,639.84

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Solution

The third proportional to 16,680.09 and 36,639.84 is: 80,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,680.09 : 36,639.84 = 36,639.84 : x
  2. Step 2: Convert to fraction form
    16,680.09/36,639.84 = 36,639.84/x
  3. Step 3: Cross multiply
    16,680.09x = 36,639.84 × 36,639.84
  4. Step 4: Simplify right side
    16,680.09x = 1,342,478,150.02
  5. Step 5: Solve for x
    x = 1,342,478,150.02/16,680.09
  6. Step 6: Final answer
    x = 80,483.85

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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.