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Finding the Third Proportional to 26,380.69 and 53,837.16

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Solution

The third proportional to 26,380.69 and 53,837.16 is: 109,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,380.69 : 53,837.16 = 53,837.16 : x
  2. Step 2: Convert to fraction form
    26,380.69/53,837.16 = 53,837.16/x
  3. Step 3: Cross multiply
    26,380.69x = 53,837.16 × 53,837.16
  4. Step 4: Simplify right side
    26,380.69x = 2,898,439,393.09
  5. Step 5: Solve for x
    x = 2,898,439,393.09/26,380.69
  6. Step 6: Final answer
    x = 109,869.74

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.