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Finding the Third Proportional to 5,857.10 and 12,649.71

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Solution

The third proportional to 5,857.10 and 12,649.71 is: 27,319.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.10 : 12,649.71 = 12,649.71 : x
  2. Step 2: Convert to fraction form
    5,857.10/12,649.71 = 12,649.71/x
  3. Step 3: Cross multiply
    5,857.10x = 12,649.71 × 12,649.71
  4. Step 4: Simplify right side
    5,857.10x = 160,015,186.80
  5. Step 5: Solve for x
    x = 160,015,186.80/5,857.10
  6. Step 6: Final answer
    x = 27,319.86

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