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Finding the Third Proportional to 18,226.50 and 39,747

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Solution

The third proportional to 18,226.50 and 39,747 is: 86,677.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,226.50 : 39,747 = 39,747 : x
  2. Step 2: Convert to fraction form
    18,226.50/39,747 = 39,747/x
  3. Step 3: Cross multiply
    18,226.50x = 39,747 × 39,747
  4. Step 4: Simplify right side
    18,226.50x = 1,579,824,009
  5. Step 5: Solve for x
    x = 1,579,824,009/18,226.50
  6. Step 6: Final answer
    x = 86,677.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.