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Finding the Third Proportional to 18,535.50 and 38,607

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Solution

The third proportional to 18,535.50 and 38,607 is: 80,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,535.50 : 38,607 = 38,607 : x
  2. Step 2: Convert to fraction form
    18,535.50/38,607 = 38,607/x
  3. Step 3: Cross multiply
    18,535.50x = 38,607 × 38,607
  4. Step 4: Simplify right side
    18,535.50x = 1,490,500,449
  5. Step 5: Solve for x
    x = 1,490,500,449/18,535.50
  6. Step 6: Final answer
    x = 80,413.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.