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Finding the Third Proportional to 5,909.63 and 7,885.27

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Solution

The third proportional to 5,909.63 and 7,885.27 is: 10,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,909.63 : 7,885.27 = 7,885.27 : x
  2. Step 2: Convert to fraction form
    5,909.63/7,885.27 = 7,885.27/x
  3. Step 3: Cross multiply
    5,909.63x = 7,885.27 × 7,885.27
  4. Step 4: Simplify right side
    5,909.63x = 62,177,413.98
  5. Step 5: Solve for x
    x = 62,177,413.98/5,909.63
  6. Step 6: Final answer
    x = 10,521.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.