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Finding the Third Proportional to 9,639 and 16,425

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Solution

The third proportional to 9,639 and 16,425 is: 27,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639 : 16,425 = 16,425 : x
  2. Step 2: Convert to fraction form
    9,639/16,425 = 16,425/x
  3. Step 3: Cross multiply
    9,639x = 16,425 × 16,425
  4. Step 4: Simplify right side
    9,639x = 269,780,625
  5. Step 5: Solve for x
    x = 269,780,625/9,639
  6. Step 6: Final answer
    x = 27,988.45

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.