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Finding the Third Proportional to 11,674.13 and 26,785.69

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Solution

The third proportional to 11,674.13 and 26,785.69 is: 61,458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.13 : 26,785.69 = 26,785.69 : x
  2. Step 2: Convert to fraction form
    11,674.13/26,785.69 = 26,785.69/x
  3. Step 3: Cross multiply
    11,674.13x = 26,785.69 × 26,785.69
  4. Step 4: Simplify right side
    11,674.13x = 717,473,054.85
  5. Step 5: Solve for x
    x = 717,473,054.85/11,674.13
  6. Step 6: Final answer
    x = 61,458.40

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.