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Finding the Third Proportional to 17,757 and 33,666.75

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Solution

The third proportional to 17,757 and 33,666.75 is: 63,831.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,757 : 33,666.75 = 33,666.75 : x
  2. Step 2: Convert to fraction form
    17,757/33,666.75 = 33,666.75/x
  3. Step 3: Cross multiply
    17,757x = 33,666.75 × 33,666.75
  4. Step 4: Simplify right side
    17,757x = 1,133,450,055.56
  5. Step 5: Solve for x
    x = 1,133,450,055.56/17,757
  6. Step 6: Final answer
    x = 63,831.17

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.