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Finding the Third Proportional to 24,797.25 and 37,779.75

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Solution

The third proportional to 24,797.25 and 37,779.75 is: 57,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,797.25 : 37,779.75 = 37,779.75 : x
  2. Step 2: Convert to fraction form
    24,797.25/37,779.75 = 37,779.75/x
  3. Step 3: Cross multiply
    24,797.25x = 37,779.75 × 37,779.75
  4. Step 4: Simplify right side
    24,797.25x = 1,427,309,510.06
  5. Step 5: Solve for x
    x = 1,427,309,510.06/24,797.25
  6. Step 6: Final answer
    x = 57,559.19

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.