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Finding the Third Proportional to 6,812.02 and 14,698.97

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Solution

The third proportional to 6,812.02 and 14,698.97 is: 31,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.02 : 14,698.97 = 14,698.97 : x
  2. Step 2: Convert to fraction form
    6,812.02/14,698.97 = 14,698.97/x
  3. Step 3: Cross multiply
    6,812.02x = 14,698.97 × 14,698.97
  4. Step 4: Simplify right side
    6,812.02x = 216,059,682.31
  5. Step 5: Solve for x
    x = 216,059,682.31/6,812.02
  6. Step 6: Final answer
    x = 31,717.44

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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.