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Finding the Third Proportional to 17,674.69 and 36,580.13

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Solution

The third proportional to 17,674.69 and 36,580.13 is: 75,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,674.69 : 36,580.13 = 36,580.13 : x
  2. Step 2: Convert to fraction form
    17,674.69/36,580.13 = 36,580.13/x
  3. Step 3: Cross multiply
    17,674.69x = 36,580.13 × 36,580.13
  4. Step 4: Simplify right side
    17,674.69x = 1,338,105,545.02
  5. Step 5: Solve for x
    x = 1,338,105,545.02/17,674.69
  6. Step 6: Final answer
    x = 75,707.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.