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Finding the Third Proportional to 10,874.25 and 25,076.25

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Solution

The third proportional to 10,874.25 and 25,076.25 is: 57,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.25 : 25,076.25 = 25,076.25 : x
  2. Step 2: Convert to fraction form
    10,874.25/25,076.25 = 25,076.25/x
  3. Step 3: Cross multiply
    10,874.25x = 25,076.25 × 25,076.25
  4. Step 4: Simplify right side
    10,874.25x = 628,818,314.06
  5. Step 5: Solve for x
    x = 628,818,314.06/10,874.25
  6. Step 6: Final answer
    x = 57,826.36

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.