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Finding the Third Proportional to 12,617.86 and 27,325.69

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Solution

The third proportional to 12,617.86 and 27,325.69 is: 59,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,617.86 : 27,325.69 = 27,325.69 : x
  2. Step 2: Convert to fraction form
    12,617.86/27,325.69 = 27,325.69/x
  3. Step 3: Cross multiply
    12,617.86x = 27,325.69 × 27,325.69
  4. Step 4: Simplify right side
    12,617.86x = 746,693,197.35
  5. Step 5: Solve for x
    x = 746,693,197.35/12,617.86
  6. Step 6: Final answer
    x = 59,177.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.