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Finding the Third Proportional to 8,075 and 17,382

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Solution

The third proportional to 8,075 and 17,382 is: 37,415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,075 : 17,382 = 17,382 : x
  2. Step 2: Convert to fraction form
    8,075/17,382 = 17,382/x
  3. Step 3: Cross multiply
    8,075x = 17,382 × 17,382
  4. Step 4: Simplify right side
    8,075x = 302,133,924
  5. Step 5: Solve for x
    x = 302,133,924/8,075
  6. Step 6: Final answer
    x = 37,415.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.