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Finding the Third Proportional to 5,918.06 and 9,234.56

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Solution

The third proportional to 5,918.06 and 9,234.56 is: 14,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.06 : 9,234.56 = 9,234.56 : x
  2. Step 2: Convert to fraction form
    5,918.06/9,234.56 = 9,234.56/x
  3. Step 3: Cross multiply
    5,918.06x = 9,234.56 × 9,234.56
  4. Step 4: Simplify right side
    5,918.06x = 85,277,144.57
  5. Step 5: Solve for x
    x = 85,277,144.57/5,918.06
  6. Step 6: Final answer
    x = 14,409.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.