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Finding the Third Proportional to 4,861.75 and 10,653.88

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Solution

The third proportional to 4,861.75 and 10,653.88 is: 23,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,861.75 : 10,653.88 = 10,653.88 : x
  2. Step 2: Convert to fraction form
    4,861.75/10,653.88 = 10,653.88/x
  3. Step 3: Cross multiply
    4,861.75x = 10,653.88 × 10,653.88
  4. Step 4: Simplify right side
    4,861.75x = 113,505,052.52
  5. Step 5: Solve for x
    x = 113,505,052.52/4,861.75
  6. Step 6: Final answer
    x = 23,346.54

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.