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Finding the Third Proportional to 38,886 and 57,508.50

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Solution

The third proportional to 38,886 and 57,508.50 is: 85,049.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,886 : 57,508.50 = 57,508.50 : x
  2. Step 2: Convert to fraction form
    38,886/57,508.50 = 57,508.50/x
  3. Step 3: Cross multiply
    38,886x = 57,508.50 × 57,508.50
  4. Step 4: Simplify right side
    38,886x = 3,307,227,572.25
  5. Step 5: Solve for x
    x = 3,307,227,572.25/38,886
  6. Step 6: Final answer
    x = 85,049.31

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.