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Finding the Third Proportional to 7,664.50 and 10,555

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Solution

The third proportional to 7,664.50 and 10,555 is: 14,535.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664.50 : 10,555 = 10,555 : x
  2. Step 2: Convert to fraction form
    7,664.50/10,555 = 10,555/x
  3. Step 3: Cross multiply
    7,664.50x = 10,555 × 10,555
  4. Step 4: Simplify right side
    7,664.50x = 111,408,025
  5. Step 5: Solve for x
    x = 111,408,025/7,664.50
  6. Step 6: Final answer
    x = 14,535.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.