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Finding the Third Proportional to 7,918.07 and 17,205.12

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Solution

The third proportional to 7,918.07 and 17,205.12 is: 37,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,918.07 : 17,205.12 = 17,205.12 : x
  2. Step 2: Convert to fraction form
    7,918.07/17,205.12 = 17,205.12/x
  3. Step 3: Cross multiply
    7,918.07x = 17,205.12 × 17,205.12
  4. Step 4: Simplify right side
    7,918.07x = 296,016,057.44
  5. Step 5: Solve for x
    x = 296,016,057.44/7,918.07
  6. Step 6: Final answer
    x = 37,384.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.