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Finding the Third Proportional to 7,674.75 and 10,317.38

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Solution

The third proportional to 7,674.75 and 10,317.38 is: 13,869.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.75 : 10,317.38 = 10,317.38 : x
  2. Step 2: Convert to fraction form
    7,674.75/10,317.38 = 10,317.38/x
  3. Step 3: Cross multiply
    7,674.75x = 10,317.38 × 10,317.38
  4. Step 4: Simplify right side
    7,674.75x = 106,448,226.89
  5. Step 5: Solve for x
    x = 106,448,226.89/7,674.75
  6. Step 6: Final answer
    x = 13,869.93

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.