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Finding the Third Proportional to 6,882.25 and 15,028.51

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Solution

The third proportional to 6,882.25 and 15,028.51 is: 32,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.25 : 15,028.51 = 15,028.51 : x
  2. Step 2: Convert to fraction form
    6,882.25/15,028.51 = 15,028.51/x
  3. Step 3: Cross multiply
    6,882.25x = 15,028.51 × 15,028.51
  4. Step 4: Simplify right side
    6,882.25x = 225,855,988.37
  5. Step 5: Solve for x
    x = 225,855,988.37/6,882.25
  6. Step 6: Final answer
    x = 32,817.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.