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Finding the Third Proportional to 7,150.92 and 14,799.09

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Solution

The third proportional to 7,150.92 and 14,799.09 is: 30,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.92 : 14,799.09 = 14,799.09 : x
  2. Step 2: Convert to fraction form
    7,150.92/14,799.09 = 14,799.09/x
  3. Step 3: Cross multiply
    7,150.92x = 14,799.09 × 14,799.09
  4. Step 4: Simplify right side
    7,150.92x = 219,013,175.82
  5. Step 5: Solve for x
    x = 219,013,175.82/7,150.92
  6. Step 6: Final answer
    x = 30,627.26

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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.