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Finding the Third Proportional to 39,185.75 and 92,487.75

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Solution

The third proportional to 39,185.75 and 92,487.75 is: 218,293.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,185.75 : 92,487.75 = 92,487.75 : x
  2. Step 2: Convert to fraction form
    39,185.75/92,487.75 = 92,487.75/x
  3. Step 3: Cross multiply
    39,185.75x = 92,487.75 × 92,487.75
  4. Step 4: Simplify right side
    39,185.75x = 8,553,983,900.06
  5. Step 5: Solve for x
    x = 8,553,983,900.06/39,185.75
  6. Step 6: Final answer
    x = 218,293.23

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.