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Finding the Third Proportional to 5,277 and 11,534.25

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Solution

The third proportional to 5,277 and 11,534.25 is: 25,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,277 : 11,534.25 = 11,534.25 : x
  2. Step 2: Convert to fraction form
    5,277/11,534.25 = 11,534.25/x
  3. Step 3: Cross multiply
    5,277x = 11,534.25 × 11,534.25
  4. Step 4: Simplify right side
    5,277x = 133,038,923.06
  5. Step 5: Solve for x
    x = 133,038,923.06/5,277
  6. Step 6: Final answer
    x = 25,211.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.