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Finding the Third Proportional to 7,677 and 18,497.25

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Solution

The third proportional to 7,677 and 18,497.25 is: 44,567.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 18,497.25 = 18,497.25 : x
  2. Step 2: Convert to fraction form
    7,677/18,497.25 = 18,497.25/x
  3. Step 3: Cross multiply
    7,677x = 18,497.25 × 18,497.25
  4. Step 4: Simplify right side
    7,677x = 342,148,257.56
  5. Step 5: Solve for x
    x = 342,148,257.56/7,677
  6. Step 6: Final answer
    x = 44,567.96

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.