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Finding the Third Proportional to 23,400.75 and 53,749.88

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Solution

The third proportional to 23,400.75 and 53,749.88 is: 123,459.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,400.75 : 53,749.88 = 53,749.88 : x
  2. Step 2: Convert to fraction form
    23,400.75/53,749.88 = 53,749.88/x
  3. Step 3: Cross multiply
    23,400.75x = 53,749.88 × 53,749.88
  4. Step 4: Simplify right side
    23,400.75x = 2,889,049,062.52
  5. Step 5: Solve for x
    x = 2,889,049,062.52/23,400.75
  6. Step 6: Final answer
    x = 123,459.68

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.