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Finding the Third Proportional to 11,974.13 and 26,020.88

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Solution

The third proportional to 11,974.13 and 26,020.88 is: 56,545.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,974.13 : 26,020.88 = 26,020.88 : x
  2. Step 2: Convert to fraction form
    11,974.13/26,020.88 = 26,020.88/x
  3. Step 3: Cross multiply
    11,974.13x = 26,020.88 × 26,020.88
  4. Step 4: Simplify right side
    11,974.13x = 677,085,935.77
  5. Step 5: Solve for x
    x = 677,085,935.77/11,974.13
  6. Step 6: Final answer
    x = 56,545.75

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