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Finding the Third Proportional to 38,317.50 and 81,873

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Solution

The third proportional to 38,317.50 and 81,873 is: 174,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,317.50 : 81,873 = 81,873 : x
  2. Step 2: Convert to fraction form
    38,317.50/81,873 = 81,873/x
  3. Step 3: Cross multiply
    38,317.50x = 81,873 × 81,873
  4. Step 4: Simplify right side
    38,317.50x = 6,703,188,129
  5. Step 5: Solve for x
    x = 6,703,188,129/38,317.50
  6. Step 6: Final answer
    x = 174,938.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.