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Finding the Third Proportional to 5,457.38 and 8,768.25

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Solution

The third proportional to 5,457.38 and 8,768.25 is: 14,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.38 : 8,768.25 = 8,768.25 : x
  2. Step 2: Convert to fraction form
    5,457.38/8,768.25 = 8,768.25/x
  3. Step 3: Cross multiply
    5,457.38x = 8,768.25 × 8,768.25
  4. Step 4: Simplify right side
    5,457.38x = 76,882,208.06
  5. Step 5: Solve for x
    x = 76,882,208.06/5,457.38
  6. Step 6: Final answer
    x = 14,087.76

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.