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Finding the Third Proportional to 6,780 and 7,524

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Solution

The third proportional to 6,780 and 7,524 is: 8,349.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780 : 7,524 = 7,524 : x
  2. Step 2: Convert to fraction form
    6,780/7,524 = 7,524/x
  3. Step 3: Cross multiply
    6,780x = 7,524 × 7,524
  4. Step 4: Simplify right side
    6,780x = 56,610,576
  5. Step 5: Solve for x
    x = 56,610,576/6,780
  6. Step 6: Final answer
    x = 8,349.64

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.