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Finding the Third Proportional to 5,270.06 and 11,586.38

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Solution

The third proportional to 5,270.06 and 11,586.38 is: 25,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.06 : 11,586.38 = 11,586.38 : x
  2. Step 2: Convert to fraction form
    5,270.06/11,586.38 = 11,586.38/x
  3. Step 3: Cross multiply
    5,270.06x = 11,586.38 × 11,586.38
  4. Step 4: Simplify right side
    5,270.06x = 134,244,085.64
  5. Step 5: Solve for x
    x = 134,244,085.64/5,270.06
  6. Step 6: Final answer
    x = 25,472.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.