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Finding the Third Proportional to 12,466.41 and 26,785.69

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Solution

The third proportional to 12,466.41 and 26,785.69 is: 57,552.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.41 : 26,785.69 = 26,785.69 : x
  2. Step 2: Convert to fraction form
    12,466.41/26,785.69 = 26,785.69/x
  3. Step 3: Cross multiply
    12,466.41x = 26,785.69 × 26,785.69
  4. Step 4: Simplify right side
    12,466.41x = 717,473,054.85
  5. Step 5: Solve for x
    x = 717,473,054.85/12,466.41
  6. Step 6: Final answer
    x = 57,552.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.