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Finding the Third Proportional to 12,079.13 and 26,540.16

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Solution

The third proportional to 12,079.13 and 26,540.16 is: 58,313.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,079.13 : 26,540.16 = 26,540.16 : x
  2. Step 2: Convert to fraction form
    12,079.13/26,540.16 = 26,540.16/x
  3. Step 3: Cross multiply
    12,079.13x = 26,540.16 × 26,540.16
  4. Step 4: Simplify right side
    12,079.13x = 704,379,893.77
  5. Step 5: Solve for x
    x = 704,379,893.77/12,079.13
  6. Step 6: Final answer
    x = 58,313.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.