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Finding the Third Proportional to 9,379.13 and 13,393.69

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Solution

The third proportional to 9,379.13 and 13,393.69 is: 19,126.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,379.13 : 13,393.69 = 13,393.69 : x
  2. Step 2: Convert to fraction form
    9,379.13/13,393.69 = 13,393.69/x
  3. Step 3: Cross multiply
    9,379.13x = 13,393.69 × 13,393.69
  4. Step 4: Simplify right side
    9,379.13x = 179,390,864.85
  5. Step 5: Solve for x
    x = 179,390,864.85/9,379.13
  6. Step 6: Final answer
    x = 19,126.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.