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Finding the Third Proportional to 23,779.50 and 55,062.75

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Solution

The third proportional to 23,779.50 and 55,062.75 is: 127,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,779.50 : 55,062.75 = 55,062.75 : x
  2. Step 2: Convert to fraction form
    23,779.50/55,062.75 = 55,062.75/x
  3. Step 3: Cross multiply
    23,779.50x = 55,062.75 × 55,062.75
  4. Step 4: Simplify right side
    23,779.50x = 3,031,906,437.56
  5. Step 5: Solve for x
    x = 3,031,906,437.56/23,779.50
  6. Step 6: Final answer
    x = 127,500.85

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.