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Finding the Third Proportional to 5,789.81 and 12,457.97

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Solution

The third proportional to 5,789.81 and 12,457.97 is: 26,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.81 : 12,457.97 = 12,457.97 : x
  2. Step 2: Convert to fraction form
    5,789.81/12,457.97 = 12,457.97/x
  3. Step 3: Cross multiply
    5,789.81x = 12,457.97 × 12,457.97
  4. Step 4: Simplify right side
    5,789.81x = 155,200,985.38
  5. Step 5: Solve for x
    x = 155,200,985.38/5,789.81
  6. Step 6: Final answer
    x = 26,805.87

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.