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Finding the Third Proportional to 5,151.41 and 7,996.22

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Solution

The third proportional to 5,151.41 and 7,996.22 is: 12,412.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,151.41 : 7,996.22 = 7,996.22 : x
  2. Step 2: Convert to fraction form
    5,151.41/7,996.22 = 7,996.22/x
  3. Step 3: Cross multiply
    5,151.41x = 7,996.22 × 7,996.22
  4. Step 4: Simplify right side
    5,151.41x = 63,939,514.30
  5. Step 5: Solve for x
    x = 63,939,514.30/5,151.41
  6. Step 6: Final answer
    x = 12,412.04

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.