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Finding the Third Proportional to 16,965 and 39,405.38

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Solution

The third proportional to 16,965 and 39,405.38 is: 91,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965 : 39,405.38 = 39,405.38 : x
  2. Step 2: Convert to fraction form
    16,965/39,405.38 = 39,405.38/x
  3. Step 3: Cross multiply
    16,965x = 39,405.38 × 39,405.38
  4. Step 4: Simplify right side
    16,965x = 1,552,783,578.89
  5. Step 5: Solve for x
    x = 1,552,783,578.89/16,965
  6. Step 6: Final answer
    x = 91,528.65

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.