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Finding the Third Proportional to 16,965 and 24,435

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Solution

The third proportional to 16,965 and 24,435 is: 35,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,965 : 24,435 = 24,435 : x
  2. Step 2: Convert to fraction form
    16,965/24,435 = 24,435/x
  3. Step 3: Cross multiply
    16,965x = 24,435 × 24,435
  4. Step 4: Simplify right side
    16,965x = 597,069,225
  5. Step 5: Solve for x
    x = 597,069,225/16,965
  6. Step 6: Final answer
    x = 35,194.18

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.