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Finding the Third Proportional to 12,456.72 and 26,989.37

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Solution

The third proportional to 12,456.72 and 26,989.37 is: 58,476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.72 : 26,989.37 = 26,989.37 : x
  2. Step 2: Convert to fraction form
    12,456.72/26,989.37 = 26,989.37/x
  3. Step 3: Cross multiply
    12,456.72x = 26,989.37 × 26,989.37
  4. Step 4: Simplify right side
    12,456.72x = 728,426,310.18
  5. Step 5: Solve for x
    x = 728,426,310.18/12,456.72
  6. Step 6: Final answer
    x = 58,476.59

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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.