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Finding the Third Proportional to 12,158 and 16,413.50

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Solution

The third proportional to 12,158 and 16,413.50 is: 22,158.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158 : 16,413.50 = 16,413.50 : x
  2. Step 2: Convert to fraction form
    12,158/16,413.50 = 16,413.50/x
  3. Step 3: Cross multiply
    12,158x = 16,413.50 × 16,413.50
  4. Step 4: Simplify right side
    12,158x = 269,402,982.25
  5. Step 5: Solve for x
    x = 269,402,982.25/12,158
  6. Step 6: Final answer
    x = 22,158.50

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.