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Finding the Third Proportional to 7,263.75 and 11,224.13

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Solution

The third proportional to 7,263.75 and 11,224.13 is: 17,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,263.75 : 11,224.13 = 11,224.13 : x
  2. Step 2: Convert to fraction form
    7,263.75/11,224.13 = 11,224.13/x
  3. Step 3: Cross multiply
    7,263.75x = 11,224.13 × 11,224.13
  4. Step 4: Simplify right side
    7,263.75x = 125,980,982.02
  5. Step 5: Solve for x
    x = 125,980,982.02/7,263.75
  6. Step 6: Final answer
    x = 17,343.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.