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Finding the Third Proportional to 38,541 and 84,067.50

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Solution

The third proportional to 38,541 and 84,067.50 is: 183,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,541 : 84,067.50 = 84,067.50 : x
  2. Step 2: Convert to fraction form
    38,541/84,067.50 = 84,067.50/x
  3. Step 3: Cross multiply
    38,541x = 84,067.50 × 84,067.50
  4. Step 4: Simplify right side
    38,541x = 7,067,344,556.25
  5. Step 5: Solve for x
    x = 7,067,344,556.25/38,541
  6. Step 6: Final answer
    x = 183,372.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.