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Finding the Third Proportional to 985.50 and 1,596.38

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Solution

The third proportional to 985.50 and 1,596.38 is: 2,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.50 : 1,596.38 = 1,596.38 : x
  2. Step 2: Convert to fraction form
    985.50/1,596.38 = 1,596.38/x
  3. Step 3: Cross multiply
    985.50x = 1,596.38 × 1,596.38
  4. Step 4: Simplify right side
    985.50x = 2,548,413.14
  5. Step 5: Solve for x
    x = 2,548,413.14/985.50
  6. Step 6: Final answer
    x = 2,585.91

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.