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Finding the Third Proportional to 39,787.50 and 87,855

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Solution

The third proportional to 39,787.50 and 87,855 is: 193,993.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,787.50 : 87,855 = 87,855 : x
  2. Step 2: Convert to fraction form
    39,787.50/87,855 = 87,855/x
  3. Step 3: Cross multiply
    39,787.50x = 87,855 × 87,855
  4. Step 4: Simplify right side
    39,787.50x = 7,718,501,025
  5. Step 5: Solve for x
    x = 7,718,501,025/39,787.50
  6. Step 6: Final answer
    x = 193,993.11

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.