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Finding the Third Proportional to 18,571 and 39,735

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Solution

The third proportional to 18,571 and 39,735 is: 85,018.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,571 : 39,735 = 39,735 : x
  2. Step 2: Convert to fraction form
    18,571/39,735 = 39,735/x
  3. Step 3: Cross multiply
    18,571x = 39,735 × 39,735
  4. Step 4: Simplify right side
    18,571x = 1,578,870,225
  5. Step 5: Solve for x
    x = 1,578,870,225/18,571
  6. Step 6: Final answer
    x = 85,018.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.