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Finding the Third Proportional to 38,418.75 and 57,071.25

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Solution

The third proportional to 38,418.75 and 57,071.25 is: 84,779.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,418.75 : 57,071.25 = 57,071.25 : x
  2. Step 2: Convert to fraction form
    38,418.75/57,071.25 = 57,071.25/x
  3. Step 3: Cross multiply
    38,418.75x = 57,071.25 × 57,071.25
  4. Step 4: Simplify right side
    38,418.75x = 3,257,127,576.56
  5. Step 5: Solve for x
    x = 3,257,127,576.56/38,418.75
  6. Step 6: Final answer
    x = 84,779.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.