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Finding the Third Proportional to 12,617.44 and 19,794.38

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Solution

The third proportional to 12,617.44 and 19,794.38 is: 31,053.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.44 : 19,794.38 = 19,794.38 : x
  2. Step 2: Convert to fraction form
    12,617.44/19,794.38 = 19,794.38/x
  3. Step 3: Cross multiply
    12,617.44x = 19,794.38 × 19,794.38
  4. Step 4: Simplify right side
    12,617.44x = 391,817,281.64
  5. Step 5: Solve for x
    x = 391,817,281.64/12,617.44
  6. Step 6: Final answer
    x = 31,053.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.