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Finding the Third Proportional to 7,657.88 and 10,392.94

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Solution

The third proportional to 7,657.88 and 10,392.94 is: 14,104.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.88 : 10,392.94 = 10,392.94 : x
  2. Step 2: Convert to fraction form
    7,657.88/10,392.94 = 10,392.94/x
  3. Step 3: Cross multiply
    7,657.88x = 10,392.94 × 10,392.94
  4. Step 4: Simplify right side
    7,657.88x = 108,013,149.88
  5. Step 5: Solve for x
    x = 108,013,149.88/7,657.88
  6. Step 6: Final answer
    x = 14,104.85

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.