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Finding the Third Proportional to 7,524 and 11,235

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Solution

The third proportional to 7,524 and 11,235 is: 16,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,524 : 11,235 = 11,235 : x
  2. Step 2: Convert to fraction form
    7,524/11,235 = 11,235/x
  3. Step 3: Cross multiply
    7,524x = 11,235 × 11,235
  4. Step 4: Simplify right side
    7,524x = 126,225,225
  5. Step 5: Solve for x
    x = 126,225,225/7,524
  6. Step 6: Final answer
    x = 16,776.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.