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Finding the Third Proportional to 7,975.97 and 11,733.61

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Solution

The third proportional to 7,975.97 and 11,733.61 is: 17,261.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,975.97 : 11,733.61 = 11,733.61 : x
  2. Step 2: Convert to fraction form
    7,975.97/11,733.61 = 11,733.61/x
  3. Step 3: Cross multiply
    7,975.97x = 11,733.61 × 11,733.61
  4. Step 4: Simplify right side
    7,975.97x = 137,677,588.97
  5. Step 5: Solve for x
    x = 137,677,588.97/7,975.97
  6. Step 6: Final answer
    x = 17,261.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.