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Finding the Third Proportional to 16,462 and 35,511.50

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Solution

The third proportional to 16,462 and 35,511.50 is: 76,604.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462 : 35,511.50 = 35,511.50 : x
  2. Step 2: Convert to fraction form
    16,462/35,511.50 = 35,511.50/x
  3. Step 3: Cross multiply
    16,462x = 35,511.50 × 35,511.50
  4. Step 4: Simplify right side
    16,462x = 1,261,066,632.25
  5. Step 5: Solve for x
    x = 1,261,066,632.25/16,462
  6. Step 6: Final answer
    x = 76,604.70

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.