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Finding the Third Proportional to 39,615.75 and 59,427

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Solution

The third proportional to 39,615.75 and 59,427 is: 89,145.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,615.75 : 59,427 = 59,427 : x
  2. Step 2: Convert to fraction form
    39,615.75/59,427 = 59,427/x
  3. Step 3: Cross multiply
    39,615.75x = 59,427 × 59,427
  4. Step 4: Simplify right side
    39,615.75x = 3,531,568,329
  5. Step 5: Solve for x
    x = 3,531,568,329/39,615.75
  6. Step 6: Final answer
    x = 89,145.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.