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Finding the Third Proportional to 7,639 and 16,048

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Solution

The third proportional to 7,639 and 16,048 is: 33,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639 : 16,048 = 16,048 : x
  2. Step 2: Convert to fraction form
    7,639/16,048 = 16,048/x
  3. Step 3: Cross multiply
    7,639x = 16,048 × 16,048
  4. Step 4: Simplify right side
    7,639x = 257,538,304
  5. Step 5: Solve for x
    x = 257,538,304/7,639
  6. Step 6: Final answer
    x = 33,713.61

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.