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Finding the Third Proportional to 6,917.25 and 14,996.63

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Solution

The third proportional to 6,917.25 and 14,996.63 is: 32,512.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,917.25 : 14,996.63 = 14,996.63 : x
  2. Step 2: Convert to fraction form
    6,917.25/14,996.63 = 14,996.63/x
  3. Step 3: Cross multiply
    6,917.25x = 14,996.63 × 14,996.63
  4. Step 4: Simplify right side
    6,917.25x = 224,898,761.39
  5. Step 5: Solve for x
    x = 224,898,761.39/6,917.25
  6. Step 6: Final answer
    x = 32,512.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.