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Finding the Third Proportional to 7,562.53 and 10,576.41

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Solution

The third proportional to 7,562.53 and 10,576.41 is: 14,791.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.53 : 10,576.41 = 10,576.41 : x
  2. Step 2: Convert to fraction form
    7,562.53/10,576.41 = 10,576.41/x
  3. Step 3: Cross multiply
    7,562.53x = 10,576.41 × 10,576.41
  4. Step 4: Simplify right side
    7,562.53x = 111,860,369.17
  5. Step 5: Solve for x
    x = 111,860,369.17/7,562.53
  6. Step 6: Final answer
    x = 14,791.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.