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Finding the Third Proportional to 38,308.50 and 59,467.50

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Solution

The third proportional to 38,308.50 and 59,467.50 is: 92,313.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,308.50 : 59,467.50 = 59,467.50 : x
  2. Step 2: Convert to fraction form
    38,308.50/59,467.50 = 59,467.50/x
  3. Step 3: Cross multiply
    38,308.50x = 59,467.50 × 59,467.50
  4. Step 4: Simplify right side
    38,308.50x = 3,536,383,556.25
  5. Step 5: Solve for x
    x = 3,536,383,556.25/38,308.50
  6. Step 6: Final answer
    x = 92,313.29

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.