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Finding the Third Proportional to 16,497 and 36,674.25

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Solution

The third proportional to 16,497 and 36,674.25 is: 81,530.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497 : 36,674.25 = 36,674.25 : x
  2. Step 2: Convert to fraction form
    16,497/36,674.25 = 36,674.25/x
  3. Step 3: Cross multiply
    16,497x = 36,674.25 × 36,674.25
  4. Step 4: Simplify right side
    16,497x = 1,345,000,613.06
  5. Step 5: Solve for x
    x = 1,345,000,613.06/16,497
  6. Step 6: Final answer
    x = 81,530.01

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.