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Finding the Third Proportional to 6,694.88 and 14,315.63

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Solution

The third proportional to 6,694.88 and 14,315.63 is: 30,611.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.88 : 14,315.63 = 14,315.63 : x
  2. Step 2: Convert to fraction form
    6,694.88/14,315.63 = 14,315.63/x
  3. Step 3: Cross multiply
    6,694.88x = 14,315.63 × 14,315.63
  4. Step 4: Simplify right side
    6,694.88x = 204,937,119.14
  5. Step 5: Solve for x
    x = 204,937,119.14/6,694.88
  6. Step 6: Final answer
    x = 30,611.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.