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Finding the Third Proportional to 11,701.97 and 25,077.94

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Solution

The third proportional to 11,701.97 and 25,077.94 is: 53,743.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,701.97 : 25,077.94 = 25,077.94 : x
  2. Step 2: Convert to fraction form
    11,701.97/25,077.94 = 25,077.94/x
  3. Step 3: Cross multiply
    11,701.97x = 25,077.94 × 25,077.94
  4. Step 4: Simplify right side
    11,701.97x = 628,902,949.25
  5. Step 5: Solve for x
    x = 628,902,949.25/11,701.97
  6. Step 6: Final answer
    x = 53,743.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.