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Finding the Third Proportional to 9,200 and 11,640

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Solution

The third proportional to 9,200 and 11,640 is: 14,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200 : 11,640 = 11,640 : x
  2. Step 2: Convert to fraction form
    9,200/11,640 = 11,640/x
  3. Step 3: Cross multiply
    9,200x = 11,640 × 11,640
  4. Step 4: Simplify right side
    9,200x = 135,489,600
  5. Step 5: Solve for x
    x = 135,489,600/9,200
  6. Step 6: Final answer
    x = 14,727.13

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.