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Finding the Third Proportional to 39,435.19 and 86,524.88

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Solution

The third proportional to 39,435.19 and 86,524.88 is: 189,844.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,435.19 : 86,524.88 = 86,524.88 : x
  2. Step 2: Convert to fraction form
    39,435.19/86,524.88 = 86,524.88/x
  3. Step 3: Cross multiply
    39,435.19x = 86,524.88 × 86,524.88
  4. Step 4: Simplify right side
    39,435.19x = 7,486,553,993.77
  5. Step 5: Solve for x
    x = 7,486,553,993.77/39,435.19
  6. Step 6: Final answer
    x = 189,844.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.