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Finding the Third Proportional to 7,447 and 16,369.94

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Solution

The third proportional to 7,447 and 16,369.94 is: 35,984.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,447 : 16,369.94 = 16,369.94 : x
  2. Step 2: Convert to fraction form
    7,447/16,369.94 = 16,369.94/x
  3. Step 3: Cross multiply
    7,447x = 16,369.94 × 16,369.94
  4. Step 4: Simplify right side
    7,447x = 267,974,853.75
  5. Step 5: Solve for x
    x = 267,974,853.75/7,447
  6. Step 6: Final answer
    x = 35,984.27

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.