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Finding the Third Proportional to 17,530.17 and 36,674.96

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Solution

The third proportional to 17,530.17 and 36,674.96 is: 76,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,530.17 : 36,674.96 = 36,674.96 : x
  2. Step 2: Convert to fraction form
    17,530.17/36,674.96 = 36,674.96/x
  3. Step 3: Cross multiply
    17,530.17x = 36,674.96 × 36,674.96
  4. Step 4: Simplify right side
    17,530.17x = 1,345,053,046.29
  5. Step 5: Solve for x
    x = 1,345,053,046.29/17,530.17
  6. Step 6: Final answer
    x = 76,727.89

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.