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Finding the Third Proportional to 7,960.36 and 17,304.89

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Solution

The third proportional to 7,960.36 and 17,304.89 is: 37,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,960.36 : 17,304.89 = 17,304.89 : x
  2. Step 2: Convert to fraction form
    7,960.36/17,304.89 = 17,304.89/x
  3. Step 3: Cross multiply
    7,960.36x = 17,304.89 × 17,304.89
  4. Step 4: Simplify right side
    7,960.36x = 299,459,239.54
  5. Step 5: Solve for x
    x = 299,459,239.54/7,960.36
  6. Step 6: Final answer
    x = 37,618.81

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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.