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Finding the Third Proportional to 1,882.13 and 4,352.06

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Solution

The third proportional to 1,882.13 and 4,352.06 is: 10,063.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,882.13 : 4,352.06 = 4,352.06 : x
  2. Step 2: Convert to fraction form
    1,882.13/4,352.06 = 4,352.06/x
  3. Step 3: Cross multiply
    1,882.13x = 4,352.06 × 4,352.06
  4. Step 4: Simplify right side
    1,882.13x = 18,940,448.00
  5. Step 5: Solve for x
    x = 18,940,448.00/1,882.13
  6. Step 6: Final answer
    x = 10,063.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.