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Finding the Third Proportional to 7,386.82 and 11,353.61

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Solution

The third proportional to 7,386.82 and 11,353.61 is: 17,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,386.82 : 11,353.61 = 11,353.61 : x
  2. Step 2: Convert to fraction form
    7,386.82/11,353.61 = 11,353.61/x
  3. Step 3: Cross multiply
    7,386.82x = 11,353.61 × 11,353.61
  4. Step 4: Simplify right side
    7,386.82x = 128,904,357.14
  5. Step 5: Solve for x
    x = 128,904,357.14/7,386.82
  6. Step 6: Final answer
    x = 17,450.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.