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Finding the Third Proportional to 7,702 and 11,265

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Solution

The third proportional to 7,702 and 11,265 is: 16,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702 : 11,265 = 11,265 : x
  2. Step 2: Convert to fraction form
    7,702/11,265 = 11,265/x
  3. Step 3: Cross multiply
    7,702x = 11,265 × 11,265
  4. Step 4: Simplify right side
    7,702x = 126,900,225
  5. Step 5: Solve for x
    x = 126,900,225/7,702
  6. Step 6: Final answer
    x = 16,476.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.