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Finding the Third Proportional to 16,688.25 and 36,662.06

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Solution

The third proportional to 16,688.25 and 36,662.06 is: 80,542.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,688.25 : 36,662.06 = 36,662.06 : x
  2. Step 2: Convert to fraction form
    16,688.25/36,662.06 = 36,662.06/x
  3. Step 3: Cross multiply
    16,688.25x = 36,662.06 × 36,662.06
  4. Step 4: Simplify right side
    16,688.25x = 1,344,106,826.75
  5. Step 5: Solve for x
    x = 1,344,106,826.75/16,688.25
  6. Step 6: Final answer
    x = 80,542.11

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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.