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Finding the Third Proportional to 7,673.05 and 16,697.63

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Solution

The third proportional to 7,673.05 and 16,697.63 is: 36,336.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,673.05 : 16,697.63 = 16,697.63 : x
  2. Step 2: Convert to fraction form
    7,673.05/16,697.63 = 16,697.63/x
  3. Step 3: Cross multiply
    7,673.05x = 16,697.63 × 16,697.63
  4. Step 4: Simplify right side
    7,673.05x = 278,810,943.58
  5. Step 5: Solve for x
    x = 278,810,943.58/7,673.05
  6. Step 6: Final answer
    x = 36,336.37

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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.