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Finding the Third Proportional to 38,886 and 57,509

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Solution

The third proportional to 38,886 and 57,509 is: 85,050.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,886 : 57,509 = 57,509 : x
  2. Step 2: Convert to fraction form
    38,886/57,509 = 57,509/x
  3. Step 3: Cross multiply
    38,886x = 57,509 × 57,509
  4. Step 4: Simplify right side
    38,886x = 3,307,285,081
  5. Step 5: Solve for x
    x = 3,307,285,081/38,886
  6. Step 6: Final answer
    x = 85,050.79

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Why These Related Problems?

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