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Finding the Third Proportional to 10,257.75 and 24,150.75

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Solution

The third proportional to 10,257.75 and 24,150.75 is: 56,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.75 : 24,150.75 = 24,150.75 : x
  2. Step 2: Convert to fraction form
    10,257.75/24,150.75 = 24,150.75/x
  3. Step 3: Cross multiply
    10,257.75x = 24,150.75 × 24,150.75
  4. Step 4: Simplify right side
    10,257.75x = 583,258,725.56
  5. Step 5: Solve for x
    x = 583,258,725.56/10,257.75
  6. Step 6: Final answer
    x = 56,860.30

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.