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Finding the Third Proportional to 39,717.42 and 87,431.06

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Solution

The third proportional to 39,717.42 and 87,431.06 is: 192,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,717.42 : 87,431.06 = 87,431.06 : x
  2. Step 2: Convert to fraction form
    39,717.42/87,431.06 = 87,431.06/x
  3. Step 3: Cross multiply
    39,717.42x = 87,431.06 × 87,431.06
  4. Step 4: Simplify right side
    39,717.42x = 7,644,190,689.88
  5. Step 5: Solve for x
    x = 7,644,190,689.88/39,717.42
  6. Step 6: Final answer
    x = 192,464.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.