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Finding the Third Proportional to 6,457.78 and 13,690.97

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Solution

The third proportional to 6,457.78 and 13,690.97 is: 29,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,457.78 : 13,690.97 = 13,690.97 : x
  2. Step 2: Convert to fraction form
    6,457.78/13,690.97 = 13,690.97/x
  3. Step 3: Cross multiply
    6,457.78x = 13,690.97 × 13,690.97
  4. Step 4: Simplify right side
    6,457.78x = 187,442,625.31
  5. Step 5: Solve for x
    x = 187,442,625.31/6,457.78
  6. Step 6: Final answer
    x = 29,025.86

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.