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Finding the Third Proportional to 6,814.97 and 14,704.45

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Solution

The third proportional to 6,814.97 and 14,704.45 is: 31,727.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.97 : 14,704.45 = 14,704.45 : x
  2. Step 2: Convert to fraction form
    6,814.97/14,704.45 = 14,704.45/x
  3. Step 3: Cross multiply
    6,814.97x = 14,704.45 × 14,704.45
  4. Step 4: Simplify right side
    6,814.97x = 216,220,941.71
  5. Step 5: Solve for x
    x = 216,220,941.71/6,814.97
  6. Step 6: Final answer
    x = 31,727.36

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Why These Related Problems?

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