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Finding the Third Proportional to 4,031.50 and 6,413.50

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Solution

The third proportional to 4,031.50 and 6,413.50 is: 10,202.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,031.50 : 6,413.50 = 6,413.50 : x
  2. Step 2: Convert to fraction form
    4,031.50/6,413.50 = 6,413.50/x
  3. Step 3: Cross multiply
    4,031.50x = 6,413.50 × 6,413.50
  4. Step 4: Simplify right side
    4,031.50x = 41,132,982.25
  5. Step 5: Solve for x
    x = 41,132,982.25/4,031.50
  6. Step 6: Final answer
    x = 10,202.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.