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Finding the Third Proportional to 16,863.82 and 24,680.64

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Solution

The third proportional to 16,863.82 and 24,680.64 is: 36,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,863.82 : 24,680.64 = 24,680.64 : x
  2. Step 2: Convert to fraction form
    16,863.82/24,680.64 = 24,680.64/x
  3. Step 3: Cross multiply
    16,863.82x = 24,680.64 × 24,680.64
  4. Step 4: Simplify right side
    16,863.82x = 609,133,828.84
  5. Step 5: Solve for x
    x = 609,133,828.84/16,863.82
  6. Step 6: Final answer
    x = 36,120.75

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Why These Related Problems?

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