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Finding the Third Proportional to 5,828.44 and 9,243.19

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Solution

The third proportional to 5,828.44 and 9,243.19 is: 14,658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.44 : 9,243.19 = 9,243.19 : x
  2. Step 2: Convert to fraction form
    5,828.44/9,243.19 = 9,243.19/x
  3. Step 3: Cross multiply
    5,828.44x = 9,243.19 × 9,243.19
  4. Step 4: Simplify right side
    5,828.44x = 85,436,515.16
  5. Step 5: Solve for x
    x = 85,436,515.16/5,828.44
  6. Step 6: Final answer
    x = 14,658.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.