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Finding the Third Proportional to 10,671.75 and 25,236.56

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Solution

The third proportional to 10,671.75 and 25,236.56 is: 59,679.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,671.75 : 25,236.56 = 25,236.56 : x
  2. Step 2: Convert to fraction form
    10,671.75/25,236.56 = 25,236.56/x
  3. Step 3: Cross multiply
    10,671.75x = 25,236.56 × 25,236.56
  4. Step 4: Simplify right side
    10,671.75x = 636,884,086.82
  5. Step 5: Solve for x
    x = 636,884,086.82/10,671.75
  6. Step 6: Final answer
    x = 59,679.44

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.