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Finding the Third Proportional to 7,413.50 and 16,383

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Solution

The third proportional to 7,413.50 and 16,383 is: 36,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,413.50 : 16,383 = 16,383 : x
  2. Step 2: Convert to fraction form
    7,413.50/16,383 = 16,383/x
  3. Step 3: Cross multiply
    7,413.50x = 16,383 × 16,383
  4. Step 4: Simplify right side
    7,413.50x = 268,402,689
  5. Step 5: Solve for x
    x = 268,402,689/7,413.50
  6. Step 6: Final answer
    x = 36,204.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.