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Finding the Third Proportional to 16,109 and 23,545

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Solution

The third proportional to 16,109 and 23,545 is: 34,413.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,109 : 23,545 = 23,545 : x
  2. Step 2: Convert to fraction form
    16,109/23,545 = 23,545/x
  3. Step 3: Cross multiply
    16,109x = 23,545 × 23,545
  4. Step 4: Simplify right side
    16,109x = 554,367,025
  5. Step 5: Solve for x
    x = 554,367,025/16,109
  6. Step 6: Final answer
    x = 34,413.50

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.