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Finding the Third Proportional to 7,674.75 and 11,459.81

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Solution

The third proportional to 7,674.75 and 11,459.81 is: 17,111.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 11,459.81 = 11,459.81 : x
  2. Step 2: Convert to fraction form
    7,674.75/11,459.81 = 11,459.81/x
  3. Step 3: Cross multiply
    7,674.75x = 11,459.81 × 11,459.81
  4. Step 4: Simplify right side
    7,674.75x = 131,327,302.54
  5. Step 5: Solve for x
    x = 131,327,302.54/7,674.75
  6. Step 6: Final answer
    x = 17,111.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.