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Finding the Third Proportional to 16,767 and 40,621.50

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Solution

The third proportional to 16,767 and 40,621.50 is: 98,413.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,767 : 40,621.50 = 40,621.50 : x
  2. Step 2: Convert to fraction form
    16,767/40,621.50 = 40,621.50/x
  3. Step 3: Cross multiply
    16,767x = 40,621.50 × 40,621.50
  4. Step 4: Simplify right side
    16,767x = 1,650,106,262.25
  5. Step 5: Solve for x
    x = 1,650,106,262.25/16,767
  6. Step 6: Final answer
    x = 98,413.92

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.