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Finding the Third Proportional to 10,153.50 and 23,628.75

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Solution

The third proportional to 10,153.50 and 23,628.75 is: 54,987.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.50 : 23,628.75 = 23,628.75 : x
  2. Step 2: Convert to fraction form
    10,153.50/23,628.75 = 23,628.75/x
  3. Step 3: Cross multiply
    10,153.50x = 23,628.75 × 23,628.75
  4. Step 4: Simplify right side
    10,153.50x = 558,317,826.56
  5. Step 5: Solve for x
    x = 558,317,826.56/10,153.50
  6. Step 6: Final answer
    x = 54,987.72

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.