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Finding the Third Proportional to 7,524 and 11,477

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Solution

The third proportional to 7,524 and 11,477 is: 17,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524 : 11,477 = 11,477 : x
  2. Step 2: Convert to fraction form
    7,524/11,477 = 11,477/x
  3. Step 3: Cross multiply
    7,524x = 11,477 × 11,477
  4. Step 4: Simplify right side
    7,524x = 131,721,529
  5. Step 5: Solve for x
    x = 131,721,529/7,524
  6. Step 6: Final answer
    x = 17,506.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.