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Finding the Third Proportional to 11,918.25 and 26,170.31

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Solution

The third proportional to 11,918.25 and 26,170.31 is: 57,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.25 : 26,170.31 = 26,170.31 : x
  2. Step 2: Convert to fraction form
    11,918.25/26,170.31 = 26,170.31/x
  3. Step 3: Cross multiply
    11,918.25x = 26,170.31 × 26,170.31
  4. Step 4: Simplify right side
    11,918.25x = 684,885,256.35
  5. Step 5: Solve for x
    x = 684,885,256.35/11,918.25
  6. Step 6: Final answer
    x = 57,465.25

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